110927 Function Quiz Review - Answers

A write the scenario your description should clearly

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a. Write the scenario. Your description should clearly tell me “in words” how one value depends on another. b. Name, and clearly describe, two variables. Indicate which is dependent and which is independent. c. Write a function showing how the dependent variable depends on the independent variable. If you were explicit enough in parts (a) and (b), I should be able to predict your answer to part (c) before I read it. d. Choose a sample number to show how your function works. Explain what the result means. Exercise 8 Amy has started a company selling candy bars. Each day, she buys candy bars from the corner store and sells them to students during lunch. The following graph shows her profit each day in March. a. On what days did she break even? 3 and 12 b. On what days did she lose money? 4 through 11 Exercise 9 Answer the following questions using these two functions: f(x) = g(x) = 2x – 3 Show your work. Simplify your answers as much as possible. a. Find (f + g)(4). 10 b. Find ()(x), identify the real number x that must be excluded from the domain. , where x≠ c. Find g( f( x ) ) = x + 3 d. Find g( g( x ) ) = 4x – 9 Exercise 10 Answer the following questions about function F(x), whose graph is shown. (Each piece of the graph is a portion of a straight line.) a. What are the domain and range of F(x)? domain: –2 < x ≤ 2 range: –2 < F(x) < 2 b. Find these values: F(2) = 1 F(F(2)) =
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