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 generally
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$1000 with probability 0.7. What is this person’s expected gain? 4.10 Two tire-quality experts examine stacks of tires and assign a quality rating to each tire on a 3-point scale. Let X denote the rating given by expert A and Y denote the rating given by B. The following table gives the joint distribution for X and Y . 4.12 If a dealer’s profit‚ in units of $5000‚ on a new automobile can be looked upon as a random variable X having the density function fx= 21-x‚0<x<10‚elsewhere find the average
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• 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
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M. Velas FUNCTIONS OF LEISURE Relation to Increased Production and Consumption The function of leisure is largely determined by the kind and amount of free time and by the ideas of the age. When spare time consists of short breaks between long periods of sustained labor‚ its function is thought of as recreation – relaxing the worker so that he can work more efficiency after the break. When the goals are efficiency of work‚ increased production‚ more power and more wealth‚ the function of leisure
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Life-time examples: 1. In the Deliotte report‚ it is said 44% of respondents list business intelligence systems as enablers or disruptors that may threaten their business model‚ which makes it second most concerning technology threat. 2. One example of how business intelligence systems have been maximised is at women’s underwear manufacturer Maidenform. Their CIO Bob Russo said recently after implementing BI‚ “Providing targeted information at the right place and time is central to improving the
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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). The
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C H A P T E R 16 Circular Functions Objectives To use radians and degrees for the measurement of angle. To convert radians to degrees and vice versa. To define the circular functions sine‚ cosine and tangent. To explore the symmetry properties of circular functions. To find standard exact values of circular functions. To understand and sketch the graphs of circular functions. 16.1 Measuring angles in degrees and radians The diagram shows a unit circle‚ i.e. a circle of radius 1 unit
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____ 1. Tell whether the function y = 2( 5 ) shows growth or decay. Then graph the function. a. This is an exponential growth function. c. This is an exponential decay function. x b. This is an exponential growth function. d. This is an exponential growth function. ____ 2. Graph the inverse of the relation. Identify the domain and range of the inverse. x y −1 4 1 2 3 1 5 0 7 1 a. c. Domain: {x | 0 ≤ x ≤ 4}; Range: {y | − 1 ≤ y ≤ 7} b. d. Domain: {x | − 1 ≤ x ≤ 7}; Range: {y | − 4 ≤ y
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What is Production Function? Definition and Explanation: ‚ Production of goods requires resources or inputs. These inputs are called factors of production named as land‚ labor‚ capital and organization. A rational producer is always interested that he should get the maximum output from the set of resources or inputs available to him. He would like to combine these inputs in a technical efficient manner so that he obtains maximum desired output of goods. The relationship between the inputs and
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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 diameter
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