Assignment 4 April‚ 7 2013 Mat222 In this week of class we have been taught how to evaluate‚ combine and find inverses of working relations or functions. We will be computing‚ composing‚ transforming and finding the inverse of some functions. We are working with the following functions: f(x) = 2x+5 g(x) = x2 -3 h(x) = (7-3x)/3 We have been asked to compute (f – h)(4). (f – h)(4) = f(4) – h(4) So we can evaluate each separately and then subtract. f(4)
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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 function? How do you define a relation? What
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International Baccalaureate Mathematics exam at the Standard level. | |Topics include operations and properties of number sets; trigonometric functions‚ equations‚ and graphs; algebra and coordinate geometry; | |simultaneous linear equations; polynomial and quadratic functions and equations; calculus‚ including bilinear‚ exponential and logarithmic | |functions; two dimensional vectors and matrices; and probability. | |
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)) ‚ ( ) ( ( )) ‚ ( ) ( ( ( ) ) . Using the table to compute the following derivatives. a. ( ) b. ( ) c. ( ) d. ( ) e. ( ) f. ( ) 0 -1 1 2 -2 1 0 5 4 2 2 3 3 5 10 3 5 -5 1 20 4 1 -8 3 15 5 0 -10 2 20 ( ) ( ) ( ) ( ) Derivative of composite functions 5. Suppose is differentiable on [-2‚ 2] with ( ) Evaluate the followings. a. ( ) b. ( ) ( ) c. ( ) ( ) ( ) . Let ( ) Other Chain Rule 6. Solve. a. Suppose [ ( )] b. If Horizontal tangent 7. Find all points on [ ] at which ( ) has horizontal tangent
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Basic Functions Addition The addition (sum function) is used by clicking on the "+" button or using the keyboard. The function results in a+b. Subtraction The subtraction (minus function) is used by clicking on the "-" button or using the keyboard. The function results in a-b. Multiplication The multiplication (times function) is used by clicking on the "x" button or using the keyboard "*" key. The function results in a*b. Division The division (divide function) is used by clicking
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.........3 RECOMMENDED 2-UNIT OPTIONS......................................................4 MATHEMATICAL MODELLING............................................................4 UNIT 1: ALGEBRA‚ GEOMETRY AND CALCULUS MODULE 1 : BASIC ALGEBRA AND FUNCTIONS...........................7 MODULE 2 : TRIGONOMETRY AND PLANE GEOMETRY .............18 MODULE 3 : CALCULUS I ..............................................................23 UNIT 2: ANALYSIS‚ MATRICES AND COMPLEX NUMBERS MODULE 1 : CALCULUS II .
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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 f(x) given a value for x B. Linear Functions 1. Demonstrate knowledge
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Functions Functions are special types of mappings such that every element of the domain is mapped to exactly one element in the range. This is illustrated below for the function f (x) = x + 2 The set of all numbers that we can feed into a function is called the domain of the function. The set of all numbers that the function produces is called the range of a function. Often when dealing with simple algebraic function‚ such as f (x) = x + 2‚ we take the domain of the function to be the
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Structured program list. First unit: Sets. In this unit the fundamental concepts of the theory of sets is addressed to provide the tools and the language of operation for subsequent units. Second unit: numbering systems. In this unit‚ we address numbering systems of different cultures until the one’s used current day‚ highlighting the importance of ten based numbering system (decimal)‚ which will be developed in depth by tackling its properties through the next unit. Unit Three: The field
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Kevin Clark Sr. Week Five Assignment MAT222: Intermediate Algebra Instructor: Tracy Abram June 26‚ 2013 Compassion and Inverse We will be working the following functions: 1. f (x) = 2x+5 2. g (x) = x2 -3 3. H (x) 7-x3 We have been asked to compute (f-h) (4) To solve the functions we plug in the correct figures f(x)=2(4)+5 = 8+5 =13 =f(4) = 13 h(x)= 7-4 3 = 33 = 1 h(4)=1 (f-4)(4) = 13-1=12 this is our answer Compose two pair into each other A. (f*g)(x)=f (g(x)) f(x2-3)(
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