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**Function Composition Using Graphs** Use the graphs for \( f(x) \) and \( g(x) \) to evaluate the expressions below. Write your answer as an integer or a reduced fraction. ### Graph Description: The image contains two graphs, one for each of the functions \( f(x) \) and \( g(x) \). #### \( f(x) \) Graph: - The graph of \( f(x) \) is a piecewise linear function with various peaks and troughs. - The key points are: - \( f(-5) = 3 \) - \( f(-4) = -3 \) - \( f(-3) = 4 \) - \( f(-2) = 0 \) - \( f(-1) = 1 \) - \( f(0) = 5 \) - \( f(1) = 4 \) - \( f(2) = -3 \) - \( f(3) = 3 \) - \( f(4) = 0 \) - \( f(5) = 4 \) - \( f(6) = -2 \) #### \( g(x) \) Graph: - The graph of \( g(x) \) is a linear function with a constant negative slope. - The key points are: - \( g(-6) = 6 \) - \( g(-5) = 5 \) - \( g(-4) = 4 \) - \( g(-3) = 3 \) - \( g(-2) = 2 \) - \( g(-1) = 1 \) - \( g(0) = 0 \) - \( g(1) = -1 \) - \( g(2) = -2 \) - \( g(3) = -3 \) - \( g(4) = -4 \) - \( g(5) = -5 \) - \( g(6) = -6 \) ### Expressions: 1. \( f(g(-3)) = \) 2. \( g(f(0)) = \) 3. \( f(f(2)) = \) 4. \( g(g(-2)) = \)

**Function Composition Using Graphs** Use the graphs for \( f(x) \) and \( g(x) \) to evaluate the expressions below. Write your answer as an integer or a reduced fraction. ### Graph Description: The image contains two graphs, one for each of the functions \( f(x) \) and \( g(x) \). #### \( f(x) \) Graph: - The graph of \( f(x) \) is a piecewise linear function with various peaks and troughs. - The key points are: - \( f(-5) = 3 \) - \( f(-4) = -3 \) - \( f(-3) = 4 \) - \( f(-2) = 0 \) - \( f(-1) = 1 \) - \( f(0) = 5 \) - \( f(1) = 4 \) - \( f(2) = -3 \) - \( f(3) = 3 \) - \( f(4) = 0 \) - \( f(5) = 4 \) - \( f(6) = -2 \) #### \( g(x) \) Graph: - The graph of \( g(x) \) is a linear function with a constant negative slope. - The key points are: - \( g(-6) = 6 \) - \( g(-5) = 5 \) - \( g(-4) = 4 \) - \( g(-3) = 3 \) - \( g(-2) = 2 \) - \( g(-1) = 1 \) - \( g(0) = 0 \) - \( g(1) = -1 \) - \( g(2) = -2 \) - \( g(3) = -3 \) - \( g(4) = -4 \) - \( g(5) = -5 \) - \( g(6) = -6 \) ### Expressions: 1. \( f(g(-3)) = \) 2. \( g(f(0)) = \) 3. \( f(f(2)) = \) 4. \( g(g(-2)) = \)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Function Composition Using Graphs** Use the graphs for \( f(x) \) and \( g(x) \) to evaluate the expressions below. Write your answer as an integer or a reduced fraction. ### Graph Description: The image contains two graphs, one for each of the functions \( f(x) \) and \( g(x) \). #### \( f(x) \) Graph: - The graph of \( f(x) \) is a piecewise linear function with various peaks and troughs. - The key points are: - \( f(-5) = 3 \) - \( f(-4) = -3 \) - \( f(-3) = 4 \) - \( f(-2) = 0 \) - \( f(-1) = 1 \) - \( f(0) = 5 \) - \( f(1) = 4 \) - \( f(2) = -3 \) - \( f(3) = 3 \) - \( f(4) = 0 \) - \( f(5) = 4 \) - \( f(6) = -2 \) #### \( g(x) \) Graph: - The graph of \( g(x) \) is a linear function with a constant negative slope. - The key points are: - \( g(-6) = 6 \) - \( g(-5) = 5 \) - \( g(-4) = 4 \) - \( g(-3) = 3 \) - \( g(-2) = 2 \) - \( g(-1) = 1 \) - \( g(0) = 0 \) - \( g(1) = -1 \) - \( g(2) = -2 \) - \( g(3) = -3 \) - \( g(4) = -4 \) - \( g(5) = -5 \) - \( g(6) = -6 \) ### Expressions: 1. \( f(g(-3)) = \) 2. \( g(f(0)) = \) 3. \( f(f(2)) = \) 4. \( g(g(-2)) = \)
Transcribed Image Text:**Function Composition Using Graphs** Use the graphs for \( f(x) \) and \( g(x) \) to evaluate the expressions below. Write your answer as an integer or a reduced fraction. ### Graph Description: The image contains two graphs, one for each of the functions \( f(x) \) and \( g(x) \). #### \( f(x) \) Graph: - The graph of \( f(x) \) is a piecewise linear function with various peaks and troughs. - The key points are: - \( f(-5) = 3 \) - \( f(-4) = -3 \) - \( f(-3) = 4 \) - \( f(-2) = 0 \) - \( f(-1) = 1 \) - \( f(0) = 5 \) - \( f(1) = 4 \) - \( f(2) = -3 \) - \( f(3) = 3 \) - \( f(4) = 0 \) - \( f(5) = 4 \) - \( f(6) = -2 \) #### \( g(x) \) Graph: - The graph of \( g(x) \) is a linear function with a constant negative slope. - The key points are: - \( g(-6) = 6 \) - \( g(-5) = 5 \) - \( g(-4) = 4 \) - \( g(-3) = 3 \) - \( g(-2) = 2 \) - \( g(-1) = 1 \) - \( g(0) = 0 \) - \( g(1) = -1 \) - \( g(2) = -2 \) - \( g(3) = -3 \) - \( g(4) = -4 \) - \( g(5) = -5 \) - \( g(6) = -6 \) ### Expressions: 1. \( f(g(-3)) = \) 2. \( g(f(0)) = \) 3. \( f(f(2)) = \) 4. \( g(g(-2)) = \)
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