# Function Essays & Research Papers

## Best Function Essays

• Functions And Graphing Functions - 651 Words
﻿Functions and graphing functions Basics: A function is a rule that changes input into output A relation is any set of ordered pairs A function is defined as a set of ordered pairs in which no two ordered pairs have the same element A function must give exactly one unique output for each input Also called a mapping or simply a map The set of input numbers is called the domain The set of output numbers is called the range The set of all possible outputs is called the co-domain The range is...
651 Words | 3 Pages
• Functions: Function and District School Board
Nelson Series Author and Senior Consultant Marian Small Lead Author Chris Kirkpatrick Authors Barbara Alldred • Andrew Dmytriw • Shawn Godin Angelo Lillo • David Pilmer • Susanne Trew • Noel Walker Australia Canada Mexico Singapore Spain United Kingdom United States Functions 11 Series Author and Senior Consultant Marian Small Lead Author Chris Kirkpatrick Authors Barbara Alldred, Andrew Dmytriw, Shawn Godin, Angelo Lillo, David Pilmer, Susanne Trew, Noel Walker...
242,231 Words | 1103 Pages
• Linear Functions - 442 Words
Linear Functions There are three different ways to write linear functions. They are slope-intercept, point-slope, and standard form. There are certain situations where it is better to use one way than another to solve a problem. It is important to understand and comprehend the mechanics of these three forms so that you know what form to use when solving a problem. The first form, point-slope, is written as y-y1=m(x-x1). M is the slope and x1 and y1 correspond to a point on the line. It's good...
442 Words | 2 Pages
• Function and Relation - 345 Words
﻿Cartesian Coordinate System- Made of two coplanar perpendicular lines Ordered Pair- set of 2 well-ordered real numbers called coordinates X-Coordinate- Abscissa- Domain Y-Coordinate- Ordinate- Range (x , y) Function and Relation Relation is a set of distinct ordered pairs (x , y) following a certain rule such that every element in the domain paired at least once with the elements in the range. Ex. Mrs. Alfonso and her 4th year students Person to his height...
345 Words | 2 Pages
• ## All Function Essays

• Math Functions - 629 Words
1.Logic ∃there exist ∀for all p⇒q p implies q / if p, then q p⇔q p if and only if q /p is equivalent to q / p and q are equivalent 2.Sets x∈A x belongs to A / x is an element (or a member) of A x∉A x does not belong to A / x is not an element (or a member) of A A⊂B A is contained in B / A is a subset of B A⊃B A contains B / B is a subset of A A∩B A cap B / A meet B / A intersection B A∪B A cup B / A join B / A union B A\B A minus B / the diference between A and B A×B A cross B / the...
629 Words | 2 Pages
• Functions of Language - 344 Words
Function of language Tutorial WEEK 3 Identify the function used (examples of sentence) 1. Referential The party is going to start at 8 pm 2. Emotive Oh, really? What a surprise! 3. Conative Patrick, you should be there at 7.45 pm sharp. You have to prepare as you’ll give the opening speech in front of us later. 4. Phatic Hello? Hello Patrick, are you still there? 5. Metalingual Our friends had agreed that the dress code for tonight is casual attire with Hawaii’s theme...
344 Words | 2 Pages
• Functions and Their Graphs - 643 Words
﻿CHAPTER 4 : FUNCTIONS AND THEIR GRAPHS 4.1 Definition of Function A function from one set X to another set Y is a rule that assigns each element in X to one element in Y. 4.1.1 Notation If f denotes a function from X to Y, we write 4.1.2 Domain and range X is known as the domain of f and Y the range of f. (Note that domain and range are sets.) 4.1.3 Object and image If and , then x and y are known respectively as the objects and images of f. We can write , , . We can...
643 Words | 5 Pages
• Types of Function - 355 Words
Centro Escolar University Mendiola, Manila Submitted by: HANNAH IZABELLA L. OLFINDO BSMT 1A Submitted to: MRS. VILORIA Professor * Constant Function: Let 'A' and 'B' be any two non–empty sets, then a function '' from 'A' to 'B' is called Constant Function if and only if range of '' is a singleton. * Algebraic Function: The function defined by algebraic expression are called algebraic function. e.g. ...
355 Words | 3 Pages
• Math Functions - 431 Words
Pre-Calculus and Trig/Pre-Calculus Writing Assignment As a part of our math course we have been assigned a writing piece in which we are required to discuss the properties and uses of several kinds of algebraic functions. The four models include, linear, exponential, power, and inverse power. The purpose of this assignment is to review our understanding of these models and their uses and to fulfill a writing piece for the MEAP test. The first and simplest function to be discussed is the linear...
431 Words | 2 Pages
• Limit of a Function - 1346 Words
Pre-Calculus – Mid-Term Name_________________ 1. What is the solution region to the following function? f (x) > 2x + 4 + 3 A. Quadrant I only B. Quadrants I and III Quadrants II, III and IV C. Quadrants I and II 2. Determine which of the following relations is not a function. A. B. C. D. 3. Which...
1,346 Words | 11 Pages
• Graphs and Function - 1033 Words
Graphs and Function What is the relation between the graphs and function and how was it applied in the real world? Graphs are frequently used in national magazines and newspaper to present information about things such as the world’s busiest airports (O’Hare in China is first, Heathrow in London is sixth), about the advertising-dollar receivers in the United States (newspaper are first, radio is fourth) and about NCAA men’s golf team title winner (Yael is first, Houston is second)....
1,033 Words | 5 Pages
• Production Function - 513 Words
"Synonymous to the demand theory that pivots around the concept of the demand function, the theory of production revolves around the concept of the production function. A production function can be an equation, table or graph presenting the maximum amount of a commodity that a firm can produce from a given set of inputs during a period of time. The concept of production function portrays the ways in which the factors of production are combined by a firm to produce different levels of output....
513 Words | 2 Pages
• Type of Function - 593 Words
TYPES OF FUNCTIONS 1. Constant function 2. Identity function 3. Square function 4. Cube function 5. Linear function 6. Square root function 7. Reciprocal function 8. Absolute value function 9. Greatest integer function(step function) 1. CONSTANT FUNCTION This is a special form of linear function.A function is said to be constant when its slope,m=0.The domain of a constant function is a set of all real numbers and its range is a single number y-intercept(b).The constant function is an even...
593 Words | 3 Pages
• Function and Pic - 421 Words
ADDITIONAL MATHEMATICS PROJECT WORK 2012 PART 1 A family is an important institution in a society. Everyone’s hope is to have a happy family. A closely knitted family will ensure the well-being of the community and hence the nation. Below is an example of Zulkefli and Aminah’s family tree. Answer the questions below based on the family tree given. Diagram 1 a) Based on Diagram 1, list at least 5 different sets (Example : set of sons). b)...
421 Words | 4 Pages
• Polynomial Functions - 554 Words
Lab Report Title: Polynomial Functions Materials used: * A cylindrical object such as a soup can or thermos * Ruler or tape measure * Graphing technology (e.g., graphing calculator or GeoGebra) Procedure 1. Measure and record the diameter and height of the cylindrical object you have chosen in inches. Round to the nearest whole number. 2. Apply the formula of a right circular cylinder (V = r2h) to find the volume of the object. (Note: Be sure to find the radius from the...
554 Words | 2 Pages
• Explain the Domain & Range of Functions
• Explain the domain and range of a function. Under what circumstances would the domain be something other than all real numbers? Provide an example. Domain: The domain of a function is the set of ‘input’ values; the function must be well defined for these input values. Range: The range of a function is the set of ‘output’ values that result after f is applied to every element of the domain. **The domain will NOT be all real numbers when the horizontal distance from...
252 Words | 1 Page
• Basics of Functions and Their Graphs
1.2 Basics of Functions and Their Graphs Introduction to Relations Domain and Range of a Relation Any set of ordered pairs (x,y) is called a relation in x and y. Furthermore, The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation. Definition of Function and Vertical Line Test Definition of a Function Given a relation in x and y, we say “y is a function of x” if for...
390 Words | 2 Pages
• Real World Quadratic Functions
﻿ Real World Quadratic Functions Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = −25x2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit? In order to find the point at which profit is maximized, I must find the critical points of the first derivative of the equation. Coefficient of x^2...
433 Words | 2 Pages
• 5.1 Inverse Functions - 399 Words
5.1 Inverse Functions One-to-One Functions * One-to-one function is where each x-value corresponds to one y-value, and each y-value corresponds to only one x-value * * Horizontal line test – a function is one-to-one if every horizontal line intersects the graph of the function at most once * Examples: Determine whether the following functions are one-to-one * In general, a function that is either increasing or decreasing on its entire domain, such as...
399 Words | 2 Pages
• Function and Optimal Announcement Time
Mid-term exam (UIS-2012) 1/ The output of plant is Q = 0.08x2 + 0.12xy + 0.03y2 units per day, x is the no of hours skilled labor, y is the no of hours unskilled labor. Now 80 hours skilled labor and 200 hours unskilled labor. The output at a certain plant is units per day, where xis the number of hours of skilled labor used and y the number of hours of unskilled labor used. Currently, 80 hours of skilled labor and 200 hours of unskilled labor are used each day. Use calculus to estimate the...
532 Words | 2 Pages
• Polynomials: Mathematics and Polynomial Function
Using Polynomials in the “Real World” Polynomial functions are used in our everyday lives in a few different ways, this includes art, architecture, construction, financial planning, and manufacturing. We can also calculate how long it will take one person to do a job alone when we know how long it takes a group to get it done as well. Farmers on crop farms work dawn to dusk through the growing season to produce the grains, fruits, and vegetables that feed the country. These equations help them...
267 Words | 1 Page
• Overview of Excel Functions - 350 Words
Overview of formulas Formulas are equations that perform calculations on values in your worksheet. A formula starts with an equal sign (=). For example, the following formula multiplies 2 by 3 and then adds 5 to the result. =5+2*3 A formula can also contain any or all of the following: functions, references, operators, and constants. Parts of a formula Functions: The PI() function returns the value of pi: 3.142... References: A2 returns the value in cell A2. Constants: Numbers or...
350 Words | 2 Pages
• Mathematics: Problems on Function - 411 Words
﻿ Part 1.3: 1) Exercise 7: The graph: y= is given: Use transformation to create a funtion whose graph is as shown y = f(x) y = - f(x+4) – 1 : -f because it moves to under x-axis (x+4) because it moves to the left 4 units -1 because it movesto down 1 units y = f(x) = y = - f(x+4) -1 = - – 1 = - – 1 = - – 1 The new funtion is: y = - – 1 2) Exercise 38: Find fogoh f(x) = 2x -1 g(x) = h(x) = 1 – x (fogoh)(x) = f(g(h(x))) =...
411 Words | 3 Pages
• Mathematical Modeling. Linear Functions
Chapter 2: Linear Functions Chapter one was a window that gave us a peek into the entire course. Our goal was to understand the basic structure of functions and function notation, the toolkit functions, domain and range, how to recognize and understand composition and transformations of functions and how to understand and utilize inverse functions. With these basic components in hand we will further research the specific details and intricacies of each type of function in our toolkit and...
12,907 Words | 51 Pages
• Experiment: Function and Mini Launcher
﻿ Experiment 3: Projectile Range Versus Angle EQUIPMENT NEEDED – Mini Launcher and steel ball – Plumb bob – Measuring tape or meter stick – Carbon paper – Graph paper – White paper Purpose The purpose of this experiment is to find how the range of the ball depends on the angle at which it is launched. The angle that gives the greatest range is determined for two cases: launching on level ground and launching off a table. Theory The range is the horizontal...
781 Words | 7 Pages
• Attitude Knowledge Function Of Attitudes
Knowledge function of attitudes Daniel Katz (1960) outlined 4 functions of attitudes one of them being ‘knowledge’ Definition 1 “Knowledge function: Attitudes organize and structure one’s environment. Attitudes provide a sense of understanding and consistency.” (Katz, 1960 in Table 1: Shavitt, 1989) Definition 2 “Knowledge {function of attitude} - Attitudes provide meaning (knowledge) for life. The knowledge function refers to our need for a world which is consistent and relatively stable. ...
294 Words | 2 Pages
• Solutions: Utility and Function - 14627 Words
Answers to Exercises Microeconomic Analysis Third Edition Hal R. Varian University of California at Berkeley W. W. Norton & Company • New York • London Copyright c 1992, 1984, 1978 by W. W. Norton & Company, Inc. All rights reserved Printed in the United States of America THIRD EDITION 0-393-96282-2 W. W. Norton & Company, Inc., 500 Fifth Avenue, New York, N.Y. 10110 W. W. Norton Ltd., 10 Coptic Street, London WC1A 1PU 234567890 ANSWERS Chapter 1. Technology...
14,627 Words | 49 Pages
• Even and Odd Functions - 476 Words
﻿Table of Contents Definitions of Even & Odd Functions 2 Algebraic Definition 2 Graphic Definition 4 Combining Even & Odd Functions 6 Multiplication 6 Addition 7 Integrals of Even & Odd Functions 7 Fourier Series: Even & Odd Functions 9 Arbitrary Period (2L) 9 Case of Period 2π 10 References 14 Algebraic Definitions 1) Even Function: 2) Odd Function: Algebraically You may be asked to "determine algebraically" whether a function is even or odd. To...
476 Words | 4 Pages
• Function and Daily Cost - 509 Words
Assessment 03.04 Module Three Quiz Below, you are given a mapping diagram. Create and justify a relation that represents a function with the given range. Write your answers as ordered pairs. Create and justify a relation that does not represent a function with the given range. Write your answers as ordered pairs. Find the equation of the line in the graph and mathematically model the scenario using function notation where cost is a function of number of minutes. A textbook company...
509 Words | 2 Pages
• Composition and Inverse Functions - 881 Words
﻿ COMPOSITION AND INVERSE FUNCTIONS Composition and Inverse Functions Kimberly Harris MAT 222 Week 5 Assignment Instructor: Donna Wall July 18, 2014 Composition and Inverse Functions In this week’s assignment I am given three Composition and Inverse Functions. Functions gives an opportunity for manipulating experiences using different values. What these values does is to help business owners and others the opportunity to compare...
881 Words | 4 Pages
• Functions in MS-SQL Server
﻿Functions in SQL SERVER We have 2 types of functions in Sqlserver. They are 1. System Functions---Built-in functions 2. User defined Functions We can differentiate built-in functions following. 1. Single Row Functions 2. Group Functions Single row Functions Mathematical Functions String Functions Date and Time functions Mathematical Functions 1. ABS Select ABS (10) Select ABS (-10) Select ABS (0) 2. Ceiling Select Ceiling (15.6) Select Ceiling (15.2) Select Ceiling...
479 Words | 5 Pages
• Properties of the Six Trigonometric Functions
Properties of Trigonometric Functions The properties of the 6 trigonometric functions: sin (x), cos (x), tan(x), cot (x), sec (x) and csc (x)are discussed. These include the graph, domain, range, asymptotes (if any), symmetry, x and y intercepts and maximum and minimum points. Sine Function: f(x) = sin (x) * Graph * Domain: all real numbers * Range: [-1 , 1] * Period = 2pi * x-intercepts: x = k pi , where k is an integer. * y-intercepts: y = 0 * Maximum...
636 Words | 3 Pages
• Function and Inverse Cindy Dean
﻿ Composition and Inverse Cindy Dean Intermediate Algebra: MAT 222 Instructor: February 14, 2014 Composition and Inverse In this week’s assignment, I will be solving functions with different values and variables. Many companies and businesses, use these methods to either make progress or to change something that will benefit their success. The first function is: (f – h)(4) f(4) – h(4) I multiplied 4 with each variable. f(4) = 2(4) + 5 The x is...
495 Words | 2 Pages
• PROPERTIES OF SINE AND COSINE FUNCTIONS
﻿ PROPERTIES OF SINE AND COSINE FUNCTIONS: 1. The sine and cosine functions are both periodic with period 2π. 2. The sine function is odd function since it’s graph is symmetric with respect to the origin, while the cosine function is an even function since it’s graph is symmetric with respect to y axis. 3. The sine functions: a. Increasing in the intervals[0, π/2]and [3π/2, 2π]; and b. Decreasing in the interval [π/2, 3π/2],over a period of 2 π. 4. The cosine function...
386 Words | 3 Pages
• Function and Sq. Cm - 1390 Words
Presidency University Admission Test, 2013 ECONOMICS MAJOR Model Questions Group A : English(30 Marks) Write an essay on any one of the following topics: a) Our sweetest songs are those that tell of saddest thought. b) A good film I have seen and enjoyed. Group B : Mathematics (70 Marks) Answer all questions. You will get 2 marks for a correct answer and -0.5 for an incorrect answer. 1. The radius of a circle is 2.5 cm. The error in the calculated area due to an error of 0.01 cm in the...
1,390 Words | 5 Pages
• Function and Discussion Questions Compare
Week One Discussion Questions Compare and contrast a relation and a function. How can you determine when a relation is a function? * -A relation is a set of ordered pairs and a function is the relation of the first component of a pair to the second component of the same pair. * -A relation is a function when a domain value of X only maps to one range value of Y. * Explain how to determine the domain and range of a function. * -A set of ordered pairs have a first component...
395 Words | 2 Pages
• Add Math 1 Function
SEK MEN SAINS MUZAFFAR SYAH MELAKA 75450 AYER KEROH MELAKA Teaching & learning Additional mathematics Form 4 NAME:…………………………………………… FORM :………………………………………….. Date received …………………………………….. Date completed …………………………. Marks of the Topical Test : …………………………….. Prepared by : PN HJH SARIPAH AHMAD Sekolah Menengah Sains Muzaffar Syah Melaka 75450 AYER KEROH MELAKA 1 LEARNING AREA : FUNCTIONS Learning Objectives : Understand the concept of relations Learning Outcomes...
4,643 Words | 27 Pages
• Real Number and Function - 4726 Words
Algebra 1, EOC Practice Items Washington performance expectations assessed for purposes of graduation. A1.1.A Select and justify functions and equations to model and solve problems. 1. Mrs. Morris gave her students this pattern of white tiles She asked her students to write an equation to represent the number of white tiles, t, for any figure number, n. Which equation represents the number of white tiles in the pattern? A. t = n + 2 B. t = n + 4 C. t = 4n + 4...
4,726 Words | 19 Pages
• Optimization and Objective Function - 427 Words
﻿An Example of the Use of the Lagrangian Multiplier Method to Solve a Constrained Maximization Problem Let Q=output, L=labor input and K=capital input where Q = L2/3K1/3. The cost of resources used is C=wL+rK, where w is the wage rate and r is the rental rate for capital. Problem: Find the combination of L and K that maximizes output subject to the constraint that the cost of resources used is C; i.e., maximize Q with respect to L and K subject to the constraint that vL+rK=C. Note that...
427 Words | 2 Pages
• Application of Linear Functions in the Business World
﻿CHAPTER ONE Introduction 1.1 Origin of the Report The concept of function is rightly considered as one of the most important in all of mathematics. As the point, the line, and the plane were the basic elements of Euclidean geometry, the dominant theory from the time of...
3,010 Words | 16 Pages
• Teacher Support Material: Linear Functions
﻿ GRAPH OF LINEAR FUNCTIONS Teacher’s Guide Description This Teacher Support Material is designed to provide students with hands on activity relative to teaching linear functions. Rationale It has been observed that students find difficulty in graphing linear functions because students cannot relate previous knowledge of linear equations in their Intermediate Algebra to linear functions in Advance Algebra. This TSM is designed to help students graph linear function effectively....
906 Words | 7 Pages
• Homework: Function and Graded Problems Math
Solutions to Graded Problems Math 200 Section 1.6 Homework 2 September 17, 2010 20. In the theory of relativity, the mass of a particle with speed v is m = f (v) = m0 1 − v 2 /c2 where m0 is the rest mass of the particle and c is the speed of light in a vacuum. Find the inverse function of f and explain its meaning. Solution. We simply solve for v: m= m0 1− v 2 /c2 =⇒ m 1 − v 2 /c2 = m0 =⇒ m2 1 − v2 c2 = m2 0 m2 v2 =⇒ 1 − 2 = 0 c m2 =⇒ v2 m2 =1− 0 c2 m2 m0 m m0 m 2 =⇒...
702 Words | 4 Pages
• Variable Cost and Total Revenue Function
BUSINESS MATHEMATICS: ASSIGNMENT - “Section” 5.1, page 182. (1) Write the general form of a linear function involving five independent variables. (2) Assume that the salesperson in Example 1 (page 177) has a salary goal of \$800 per week. If product B is not available one week, how many units of product A must be sold to meet the salary goal? If product A is unavailable, how many units be sold of product B? (3) Assume in Example 1 (page 177) that the salesperson receives a bonus when...
781 Words | 3 Pages
• Objective Function vs Constraints in Linear Programming
﻿Linear Programming Model in Operation Research study is usually mathematical type of model which contains set of equations that represent objective function and constraints. The keywords in this article are Objective Function and Constraints, according to Heizer & Render (2008) Objective Function are mathematical expression expressed in linear programming designed to maximizes or minimizes some quantity, for example profit can maximized while the cost might be reduced. The objective function is...
435 Words | 2 Pages
• BSHS 462 Week 5 Learning Team Assignment Functions of a Human Service Organization Research Presentation
This document includes BSHS 462 Week 5 Learning Team Assignment Functions of a Human Service Organization Research Presentation General Questions - General General Questions Consider the key elements and functions of human service organizations. The key functions as listed in your text include: Planning Designing the program and organization Developing human resources Supervising Managing finances Monitoring and evaluating Prepare a...
411 Words | 3 Pages
• MAT 222 Week 5 Discussion Questions 1
This work MAT 222 Week 5 Discussion Questions 1 Relations and Functions contains solutions on the following tasks: Find your two equations in the list below based on the last letter of your last name. There are many ways to go about solving math problems. For this assignment you will be required to do some work that will not be included in the discussion. First, you need to graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in...
701 Words | 4 Pages
• Buod Ng Tigre Tigre Ni Mochtar Lubis Salin Ni Mauro Avena
A function is a relation in which each input has only one output. In the relation , y is a function of x , because for each input x (1, 2, 3, or 0), there is only one output y . x is not a function of y , because the inputy = 3 has multiple outputs: x = 1 andx = 2 . Examples: \: y is a function of x , x is a function of y . : y is not a function of x ( x = 3 has multiple outputs), x is a function of y . : y is a function of x , x is not a function of y ( y = 9 has multiple outputs)....
839 Words | 3 Pages
• Case titled “Selling Executives on Project Management
﻿ Linear Function is a function in which independent variables are raised to the power 1 and not greater than that. Linear function can be written as f(x) = mx b The linear function is arguably the most important function in mathematics. It's one of the easiest functions to understand, and it often shows up when you least expect it. Because it is so nice, we often simplify more complicated functions into linear functions in order to understand aspects of the complicated functions....
147 Words | 1 Page
• Ib Math Portfolio Type 2
Introduction In this task, I will develop model functions representing the tolerance of human beings to G-force over time. In general, humans have a greater tolerance to forward acceleration than backward acceleration, since blood vessels in the retina appear more sensitive in the latter direction. As we all know, the large acceleration is, the shorter time people can bear. Using the data shown in the task and Mat lab analysis, we can get several model functions to represent the...
1,557 Words | 6 Pages
• College Algebra - 322 Words
ASSIGNMENT 6 MA240 College Algebra Directions: Be sure to make an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English spelling and grammar. Sources must be cited in APA format. Your response should be a minimum of one (1) single-spaced page to a maximum of two (2) pages in length; refer to the "Assignment Format" page for specific format requirements. NOTE: Show...
322 Words | 3 Pages
• MAT222 assignment 5 - 482 Words
﻿ Composition and Inverse Chadwick A. Reynolds MAT222: Intermediate Algebra P. Martin Fenlon September 21, 2014 Composition and Inverse The functions that will be used in this week’s assignment will insert the x’s and y’s that will substitute their selves when the function is inversed, basically they will have the same points. The functions will be plugged in place of “x” for the function composition. Functions can be used in different things that are...
482 Words | 3 Pages
• A Project in Next Century Mathematics “Advanced Algebra, Trigonometry, and Statistics”
A Project in Next Century Mathematics “Advanced Algebra, Trigonometry, and Statistics” Michael Roy Lansang Immanuel C. Canoy Mathematics 10 Teacher 1.1 Reviewing the Cartesian Coordinate Plane Math FYI The words, functions, coordinate, abscissa, and ordinate, as now use in mathematics, were introduce by Gottfried Wilhelm Leibniz (1646-1716) of Germany. Leibniz was the great genius of the 17th century. He was also Newton’s rival in the invention of...
296 Words | 2 Pages
• The Value of Homework for Mathematical Success
﻿ The Value of Homework for Mathematical Success Erik M. Andersen University of Colorado at Denver Abstract The questions studied in this paper revolve around homework and if the quantity or the content of homework assignments relate to proficiency in an Algebraic unit on Functions. A study was performed on 18 similar ability high school students. The students were divided into four different homework groups and their pre and post-test test scores were compared to...
4,651 Words | 16 Pages
• After - 412 Words
﻿Project II- Point of Diminishing Returns Name: ____________________________ Due: Monday, June 24, 2013 Please read each question carefully and be sure to answer all parts. Show all of your work. ____________________________________________________________________________ The total amount of revenue made by the Miramar Resort Hotel is given by the function , , where x is the amount of money the hotel spends on advertising its services, and where both revenue and x are measured in thousands. 1....
412 Words | 2 Pages
• nakakabuti o nakakasama ang sariling wika sa teknolohiya
﻿ Knowing Relation and Function Princez Jem dela Cruz Bs Psychology -1B October 8 ,2013 I.INTRODUCTION : This research paper is containing information that will help the students to study and learn more about the functions and relations. It also serves as their guide to enhance and practice in learning skills in this topic. *History of Relation and function The concept of relation has a long and complicated history in philosophy. For the ancient Greeks the relation...
4,823 Words | 14 Pages
• Math - 3046 Words
s | Mathematics B Assignment | Linear, periodic and exponential functions | | HARBECK, Henry | Due: 2nd November | Contents Contents 1 PART A – KNOWLEDGE AND PROCEDURES 2 KAP Q1 2 KAP Q2 3 KAP Q3 5 KAP Q4 6 PART B – MODELLING AND PROBLEM SOLVING 8 MAPS Q1 8 MAPS Q2 9 MAPS Q3 11 MAPS Q4 18 References 26 PART A – KNOWLEDGE AND PROCEDURES All working for Part A is done in centimetres unless otherwise stated. KAP Q1 Function | Domain | Range | Equation |...
3,046 Words | 14 Pages
• Precalculus Notes - 586 Words
Calculus is the mathematical study of change, and real-life things that change are modeled by functions. Precalculus is essentially the study of functions, with a few other related topics that supplement the study of functions and prepare students for calculus. In this text we'll concern ourselves first with learning about general functions, and later with certain types of common functions with special properties, like polynomial, exponential, logarithmic, and trigonometric functions. First, it...
586 Words | 2 Pages
• 135 Study Guide - 1732 Words
Math 135 Final Exam Study Guide The graph of a function is given. Follow the directive(s). 1) y 5 (0.5, 2) (3.5, 2) 5 (6, -1.1) x -5 (-5, -3) (-4, -3) -5 (a) List all the intervals on which the function is increasing. (b) List all the intervals on which the function is decreasing. (c) List all the intervals on which the function is constant. (d) Find the domain. (e) Find the range. (f) Find f(-5). (g) Find f(6). (h) Find x when f(x) = 0. (i) Find the x-intercept(s). (j) Find the...
1,732 Words | 9 Pages
• Student12345TotalUser Guest C B D D
﻿ Student 1 2 3 4 5 Total User, Guest C B D D B (4/5) 1. Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1? A. (1, 1) B. (1, 4) C. (4, 1) D. (4, 4) Correct Answer: C — (4, 1) Explanation: (4,1) corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1. The first value in an ordered pair is the x-coordinate, which corresponds to the input column on a mapping diagram. The second value is the...
347 Words | 3 Pages
• Area and Volume - 318 Words
Previous exam questions on area between functions and volumes of solids. 1. Let f(x) = cos(x2) and g(x) = ex, for –1.5 ≤ x ≤ 0.5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0, 13). (a) Show that A =10. (2) (b) Given that f(15) = 3.49 (correct to 3 significant figures), find the value of k. (3) (c) (i) Using your value of k, find f′(x). (ii)...
318 Words | 2 Pages
• Pelc Mathematics - 257 Words
GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV (Advanced Algebra, Trigonometry and Statistics) A. Functions 1. Demonstrate knowledge and skill related to functions in general 1.1 Define a function 1.2 Differentiate a function from a mere relation * real life relationships * set of ordered pairs * graph of a given set of ordered pairs * vertical line test * given equation 1.3 Illustrate the meaning of the functional notation f(x) 1.4 Determine the value of...
257 Words | 2 Pages
• Math Lab Sl 11
Cindy Hwang IB Math 11 SL 1-3 IB Math Portfolio Gold medal heights Aim: The aim of this task is to consider the winning height for the men’s high jump in the Olympic Games. Introduction: The Olympic Games which are held in every four years have an event called Men’s High Jump and usually an athlete tries to jump over a bar which is set up in a certain range from1 meter to 3 meters. The table 1 shows the record of the gold medalists during the Olympic Games held during 1932 to 1980. Note:...
1,671 Words | 7 Pages
• MAT 126 Week 3 Quiz
This document MAT 126 Week 1 Quiz contains solutions on these questions: Classify the angle as acute, right, obtuse, or straight. Find the perimeter. Identify angles 6 and 7 as alternate interior, alternate exterior, corresponding, or vertical. Find the domain and range of the relation, and state whether or not the relation is a function. {(7, 2), (8, 2), (9, 2), (10, 2)} Adult tickets for a play cost \$19 and child...
678 Words | 4 Pages
• Ib Physics Ia - 2482 Words
IB Physics Internal Assessment Andy Tang Research Question In this internal assessment, I am given a cantilever to find the physical properties of it. I decide to investigate the relationship between the force I act on one side of the cantilever and the maximum acceleration the tail can reach. This experiment will be also showing the elasticity of the cantilever. Since I pull down one side of it and fixed the other side, when I cut the string, it will bounce up and down until all the internal...
2,482 Words | 8 Pages
• SAMPLE UBD LESSON PLAN
﻿Course Code: Math 1 Course Title: College Algebra Year: 1st Year Topic: Functions Designer: Frago, Christine Joy S. Stage 1 – Desired Results Established Goals: This section aims to: 1. distinguish a function from a mere relation; and 2. find the domain and range of functions or relations Understandings: Students will understand… the definition of relation the definition of function the relationship between relation and function Essential Questions: Is the relation a...
1,545 Words | 10 Pages
• Math: Quiz - 364 Words
﻿90 Score: 9 of 10 points Answer Key Top of Form Question 1 (Worth 1 points) (03.02) Use the graph below to fill in the blank with the correct number: f(-2) = _______ Answer blank 1: Points earned on this question: 1 Question 2 (Worth 2 points) (03.02) 2. f(5) = ______
364 Words | 3 Pages
• Maths Assignment Xii - 947 Words
Name of the school Grade: ---- Chapter Name – Work Sheet number ------------------------------------------------- Date: -------- Time: Estimated Time to Complete ------------------------------------------------- Name of Student: Date of Submission: Maths assignment XII RELATIONS AND FUNCTIONS 1. If fx= x and x= x , then evaluate fog52-gof-72. 2. If fx= 3-x313 and x= logex , find fof(x). 3. Let * be a...
947 Words | 3 Pages
• Linear Math Scenarios - 327 Words
The teacher's hypothesis is horribly inaccurate. First of all, Scenario A is the only linear function in the group consisting of A,B, and C. Scenario B is a function, but not linear. Scenario C is not a function. Scenario A has all the criteria of a linear function. For every independent variable (aka “x” value or input) in the domain, there is one and only one dependent variable (aka output or “y” value) in the range. It can be written in the form “y=mx+b” where “m” and “b” are real numbers,...
327 Words | 1 Page
• 10 main principles of International law
﻿ Lecture 6: Function. Limits and continuity. Plan: 1) Concept of function. Basic properties of functions. 2) Elementary functions. Classification of functions. 1) Concept of function. Basic properties of functions. Definition 1. If to each element x of set X () is put in conformity the element y of set Y () speak, that on set X function is given. Where х is an independent variable (or argument), y - a dependent variable, and the letter f designates the law of conformity. Set...
653 Words | 3 Pages
• Exam 3 Content Calculus 1
Exam 3 Content (Sections 3.7 - 3.11) Solve problems using all derivatives learned thus far in the course, but specifically: 1. Use logarithmic differentiation to find the derivative. 2. Use implicit differentiation. 3. Find the slope of a curve at a point and the tangent and normal lines at that point. 4. Find the value of the derivative of an inverse function for a given value of x. 5. Solve a related rates problem. 6. Find the linearization L(x) of a function for a given value of x. ...
80 Words | 1 Page
• Absolute Value, Inequalities, Systems of Equations, Systems of Inequalities: Algebra Study Guide
Name: ___________________________________________ Algebra II Midterm Exam Review 2013 ABSOLUTE VALUE, INEQUALITIES, SYSTEMS OF EQUATIONS, SYSTEMS OF INEQUALITIES 1. Shade the solution to the system: 5 x + 2 y ≤ 10 3x − y ≥ 6 2. Solve the system for “y”. 3. Solve the system for “x”. 44 x + 43 y = 177 24 x − 86 y = 206 −48 x + 116 y = 224 96 x − 58 y = 248 4. Solve: 5x − 6 < 36 5. Solve: 5x − 1 > 9 x − 4 y + 3z = 6 6. Solve the system: 4 x − 4 y − 3 z = 18 6x +...
1,555 Words | 12 Pages
• Pre Calc Checkup 4
﻿Name: Date: Graded Assignment Checkup: Graphs of Logarithmic Functions Answer the following questions using what you've learned from this unit. Write your responses in the space provided, and turn the assignment in to your instructor. 1. What is equivalent to? How do you know? 6xlog(b)B 2. What is equivalent to? How do you know? 4.3 3. What is equivalent to? How do you know? 400 4. Use what you know about horizontal and vertical shifts of functions to sketch a graph of ....
290 Words | 3 Pages
• Differentiation - 675 Words
differentiation 1. The similarity of the turning points and the points of inflexion is both of them can be stationary point, but not all the stationary points are turning points or points of inflexion. A turning point is a point which is the point of the sign of the derivative changes. And the turning points are the local maximum and minimum where the derivative of the function changes from positive to negative or from negative to positive. When the shape of the function is smooth, the...
675 Words | 2 Pages
• Algebra 2 Help - 308 Words
Now it is your turn to plan the trajectories required to launch a spacecraft through a specific route in space. The launch area is identified on the map below. Select three points for your spacecraft to travel through and label them Point A, Point B, and Point C. A coordinate plane is shown with a point at 1, 2 labeled, Launch Area. Log the coordinates of the specific points in space to which your spacecraft will travel. Please remember to include the graph of your points and the lines...
308 Words | 2 Pages
• Taylor Series - 706 Words
hp calculators HP 50g Using Taylor Series The menu LIMITS AND SERIES Practice using Taylor series hp calculators HP 50g Using Taylor Series The menu LIMITS AND SERIES The menu LIMITS AND SERIES contains commands related to limits. To access it you press !Ö. You are presented then the calculus menu as a CHOOSE box: Figure 1 Its second menu item is 2.LIMITS AND SERIES... You can use such CHOOSE boxes much like menus of computer applications. You can move the selection using the...
706 Words | 4 Pages
• mats answers - 1439 Words
﻿1) 5/5 Classify as a polynomial, a power function, or a rational function. y = x/(x+1)^2 (5pts) Polynomial Power Function Rational Function Collapse 2) 5/5 Sketch a graph of the function. Find the x and y intercepts. f(x) = -x^3 + 1 (5pts) x-intercepts (-1, 0) (1, 0) y-intercept (0, 1) x-intercept (1, 0) y-intercept (0, 1) x-intercepts (-1, 0) (1, 0) y-intercept (0, -1) x-intercept (-1, 0) y-intercept (0, -1) Collapse 3)...
1,439 Words | 24 Pages
• Calculus Ap Ab Question
Free Response Questions 1969-2005 Compiled by Kaye Autrey for face-to-face student instruction in the AP Calculus classroom 1 AP Calculus Free-Response Questions 1969 AB 1 Consider the following functions defined for all x: f1 ( x) = x f 2 ( x) = x cos x f3 ( x) = 3e2 x f 4 ( x) = x − x Answer the following questions (a, b, c, and d) about each of these functions. Indicate your answer by writing either yes or no in the appropriate space in the given rectangular grid. No...
18,569 Words | 52 Pages
• Mathematics Question Paper - 615 Words
Collin Doyle Mrs. Perino Math 48A.01 11 January 2013 Homework 1.2: P. 19-21 #’s 23-24, 66-67, 70, 73, 74a-b, 76 23) Problem: Explain how to determine whether a parenthesis or a square bracket is used when graphing an inequality on a number line. Solution: a. Parenthesis: indicate a range of values, open interval, I think of parenthesis as being the parent that is more open to given their child toys and bending the rules. b. Brackets: has limits between two numbers, closed...
615 Words | 3 Pages
• Calctools for Ti89 Titanium - 4654 Words
TI TI-89 / TI-92 Plus Calculus Tools Getting Started W hat is the Calculus Tools Application? Before You Begin Starting the Calculus Tools Application Calculus Tools Menus F1:Tools F2:Deriv F3:Integ F4:Seq F5:Vector F6:Advanced More Information Calculus Tools Application Functions 8/10/01 © 2001 Texas Instruments Important Information Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of...
4,654 Words | 26 Pages
• 9th Grade algebra Midterm Review
A Multiple Choice (Place all answers on SCAN TRON) 1 point each Identify the choice that best completes the statement or answers the question. What is an algebraic expression for the word phrase? 1. the sum of n and 9 2. The table shows how the height of a stack of DVDs depends on the number of DVDs. What is a rule for the height? Number of DVDs 2 3 4 n Height (cm) 18 27 36 ? What is the simplified form of each expression? 3. 4. 5. What is the simplified form of...
882 Words | 8 Pages
• Algebra 222 week 5 Quiz
﻿Algebra 222 week 5 Quiz CLOSE WINDOW Week 5: Functions, Date Submitted: 11/03/2014 (Started On: 11/02/2014) 1. Inverse functions: Problem type 1 The one-to-one functions g and h are defined as follows. =g−4, 8, −2, 4, −1, 9, −9, 4 =hx−3x4 Find the following. g−19 = h−1x = ∘h−1h−1 = You answered: g−19 = 0 h−1x = 1 ∘h−1h−1 = −1 Your answer is incorrect. The correct answer is: g−19 = −1 h−1x = +x43 ∘h−1h−1 = −1 2. Domain and range from ordered pairs...
690 Words | 13 Pages
• 1 1 Equations And Graphs
﻿1.1. Equations and Graphs In each of problems 1 - 4, find (a) an ordered pair that is a solution of the equation, (b) the intercepts of the graph, and (c) determine if the graph has symmetry. 1. 2. 3. 4. 5. Once a car is driven off of the dealership lot, it loses a significant amount of its resale value. The graph below shows the depreciated value of a BMW versus that of a Chevy after years. Which of the following statements is the best conclusion about the data? a. You...
294 Words | 2 Pages
• Math Test Review - 366 Words
All answers should be left in simplified, reduced from unless you are told to round to a specific number of decimal places. Knowledge (Answers should be in exact values only) 1. Simplify the following rational expressions. 3 √27 + 5√28 -- 4√63 -- √12 (3√7 – 3)2 2. Determine the maximum or minimum value for y = -3(x + 1)( x – 4) and state the value of x for which this occurs. Use your own convenient way. 3. Determine the number of zeros for...
366 Words | 2 Pages
• Pow 16: Spiralaterals - 718 Words
A spiralateral is a series of line segments that form a shape that resembles a spiral. You make spiralaterals by picking a spot on a piece of graph paper to be the starting point of the spiralateral. Then take a set of three numbers and using that point go up the first number of squares on the graph paper, go right the second number of squares, down the third number of squares and left the first number of squares going in that pattern until the line meets the starting point. So if you were using...
718 Words | 2 Pages
• Math 30 IB Standard Level Body Mass Index Portfolio Assignment
This portfolio is an investigation into how the median Body Mass Index of a girl will change as she ages. Body Mass Index (BMI) is a comparison between a person's height (in meters) and weight (in kilograms) in order to determine whether one is overweight or underweight based on their height. The goal of this portfolio is to prove of disprove how BMI as a function of Age (years) for girls living in the USA in 2000 can be modeled using one or more mathematical equations. This data can be used for...
2,546 Words | 12 Pages
• Evaluation Seminar 3 Casino Industry
﻿ The analysis of the domain is sufficiently narrowed and pointed out. The table gives general facts about the casino industry in the described domain and provides an overview of the environmental trends and their impact on the casino industry. Competition: Good facts mentioned which influence the casino industry. Concerning the political force, it does not really become clear why Japan is important here. How does this affect the domain (Europe)? More numbers could have been given in order...
477 Words | 2 Pages
• Maths Question Paper Cbse
1. If a line y = x + 1 is a tangent to the curve y2= 4x ,find the point the of contact ? 2. Find the point on the curve y = 2x2– 6x – 4 at which the tangent is parallel to the x – axis 3. Find the slope of tangent for y = tan x + sec x at x = π/4 4. Show that the function f(x) == x3– 6x2 +12x -99 is increasing for all x. 5. Find the maximum and minimum values, if any of 6. For the curve y = 3x² + 4x, find the slope of the tangent to the curve at the point x = -2. 7....
3,138 Words | 7 Pages
• what competitive forced have challrnged the movie industry?
Rational Expressions, Asymptotes, and Holes Dr. Litan Kumar Saha Assistant Professor Department of Mathematics University of Dhaka Rational Expression  It is the quotient of two polynomials.  A rational function is a function defined by a rational expression. Examples: y x2 x5 y 3x2  2 x  5 x3  4 x2  5 x  7 Not Rational: y 4x x2 y x x2  5 Find the domain: Graph it: f ( x)  1 x Find the domain: Graph it: f ( x)...
573 Words | 9 Pages
• Parallel and Perpendicular - 315 Words
This week I am to find the equation of a line that is parallel or perpendicular to given lines that pass through specific point. The given equation y=12 x+3 The parallel line must pass through point (-2, 1) Parallel lines share the same slope so the slope of the new line will be12. Because I have an ordered pair and the slope, I can use point-slope to find the new equation...
315 Words | 1 Page
• Derivative and Heart Beats - 706 Words
﻿MAT 115.1647 Gerard Martinez Md Habib APPLICATIONS OF FUNCTIONS PROJECT 1. Exercise and heart rate: The data in the table below represent the maximum benefit to the heart from exercising, if the heart rate is in the target heart rate zone. Age, x Maximum number of heart beats, y 20 140 30 133 40 126 50 119 60 112 70 105 a) Plot the data in the table above. What kind of pattern can you observe from your graph? b) What type of relationship appears to exist...
706 Words | 4 Pages
• study - 851 Words
EXTENSION MATERIAL 7 An algebraic look at limits Try this worksheet after you have completed section 7.1 Section 7.1 examined the concept of the limit of a function graphically and by using tables of values. This worksheet looks at ﬁnding some limits algebraically, using limit properties. We know that lim f ( x ) does not depend on the value of f at x = c. However, for some x →c well-behaved functions lim f ( x ) = f (c ) . In this case the limit may be found by direct x →c...
851 Words | 17 Pages
• YESSAS - 464 Words
Hiddddddddddddddddddddd dgfdgdg gdgdg gdg Answers 1 and 3 How can one look up the ticker for Microsoft? (Microsoft >help>10>go from this menu + Typing Microsoft in command line if autocomplete is enabled) BLP In order to start Launchpad, which command do I use on Bloomberg? To get a user guide while on a function such as MOST, one would hit which key? True The logic that Bloomberg uses to organize our functionality is that of a menu driven system where functions are...
464 Words | 3 Pages
• core maths 3 - 2733 Words
﻿C3 Algebra 1. Express as a single fraction in its simplest form. (7) 2. (a) Simplify (3) (b) Hence, or otherwise, express as a single fraction in its simplest form. (3) 3. (a) Show that (4) (b) Show that x2 + x +1 > 0 for all values of x. (3) (c) Show that f (x) > 0 for all values of x, x ≠ –2. (1) 4. (a) Show that (7) (b) Hence, or otherwise, find f′(x) in its simplest form. (3) 5. Given that , find the values of the constants a, b, c, d and e. (4) 6....
2,733 Words | 16 Pages
• Composition and Inverse - 594 Words
﻿ Composition and Inverse Alicia Frambro MAT 222: Intermediate Algebra Prof: Michael Smith September 22, 2013 Composition and Inverse When using functions, there are different ways to solve various values. Many companies use these functions to monitor business pertaining gross profit and many other operations such as adjusting productivity. Visual examples of these functions are graphs. They provide a visual relationship between composition and inverse solutions as well and...
594 Words | 3 Pages
• Circles Math Ib Ia- Score 15
International Baccalaureate | Gold Medal Heights SL Math IA- Type II | Turner Fenton Secondary School | Completed by: Harsh Patel Student Number: 643984 IB number: Teacher: Mr. Persaud Course Code: MHF4U7-C Due Date: November 16th, 2012 Introduction This report will investigate the winning heights of high jump gold medalists in the Olympics. The Olympics composed of several events evaluating...
4,012 Words | 12 Pages
• Boyle's Law - 388 Words
Chihwei Liu 2012/11/28 Boyle’s Law Purpose: Define the effect of air dense to pressure. Variables: Independent Variables: Milliliters of air Dependent Variables: Pressure Controlled Variables: Milliliters of air, room temperature, same syringe. Materials: Syringe, pressure senser. Procedure: On the paper Data: ml ±0.5 Room Temperature kpa1 ±0.01 kpa2 ±0.01 kpa3 ±0.01 kpa4 ±0.01 kpa5 ±0.01 Averages kpa ±0.05 20 24.6℃ 102.840 102.950 102.780 102.780 102.940 102.858 19...
388 Words | 2 Pages
• Interview Background - 495 Words
Janice do you want me to start to put this info into the Drexel University Mission Janice, I put both mission statements for you to look at. The mission of the organization usually drives the company and think it could add to the presentation. What do you all think? If you agree, which one? Our Mission Drexel University fulfills our founder's vision of preparing each new generation of students for ...
495 Words | 2 Pages
• Math Sl Fish Production
FISH PRODUCTION - MODELING The aim of this investigation is to consider commercial fishing in a particular country in two different environments, that is from the sea and a fish farm (aquaculture). The following data provided below was taken form the UN Statistics Division Common Database. The tables gives the total mass of fish caught in the sea, in thousands of tones (1 tone = 1000 kilograms). Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | Total Mass |...
1,370 Words | 5 Pages
• Process Control Paper - 708 Words
Given : Approximation of FOPTD Model (a)Two Points Method [See Appendix-A for MATLAB Code] Figure (1): Process reaction curve using Matlab At 28.4%, t1 = 2.48s At 63.2%, t2 = 4.18s T = 1.5(t2 – t1) = 1.5(4.18-2.48)=2.55s L = 0.5(3t1-t2)=0.5(3*2.48-4.18)=1.63s Gain K=1 Approximated TF is : Gs=1e-1.63s2.55s+1 Verification of Two Point Method in Time domain and Frequency domain [See Appendix-A for MATLAB Code] Figure (2): Verification of Two Point Method in...
708 Words | 4 Pages
• Position Vs Time Gizmo
﻿Name: ______________________________________ Date: ________________________ Position vs. Time Graphs You must be logged in to your Explore Learning account to complete this activity. Instructions for setting up your account are on the FISD Student Learning Hub (Moodle). Complete this assignment electronically. You will save and upload your document at the end. Gizmo Warm-up The Distance-Time Graphs GizmoTM shows a graph and a runner on a track. You can control the motion of the...
389 Words | 3 Pages