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Use the graphs of f and g to evaluate the functions. y f(x) y g(x) 4 3- 1 2. (a) (f. g)(2) (b) (g . A(2)

Use the graphs of f and g to evaluate the functions. y f(x) y g(x) 4 3- 1 2. (a) (f. g)(2) (b) (g . A(2)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Instructions: Use the graphs of \( f \) and \( g \) to evaluate the functions.** **Graphs Description:** - **Left Graph: \( y = f(x) \)** - A piecewise linear graph with distinct points at: - (1, 4) - (2, 2) - (3, 1) - (4, 4) - The graph forms a "V" shape. - **Right Graph: \( y = g(x) \)** - A linear graph with points at: - (1, 4) - (2, 3) - (3, 2) - (4, 1) - The graph has a downward slope. **Tasks:** (a) Evaluate \( (f \circ g)(2) \) (b) Evaluate \( (g \circ f)(2) \) **Note:** Use the graphs to find the values of the functions at the given points. Fill in the answers in the provided boxes.
Transcribed Image Text:**Instructions: Use the graphs of \( f \) and \( g \) to evaluate the functions.** **Graphs Description:** - **Left Graph: \( y = f(x) \)** - A piecewise linear graph with distinct points at: - (1, 4) - (2, 2) - (3, 1) - (4, 4) - The graph forms a "V" shape. - **Right Graph: \( y = g(x) \)** - A linear graph with points at: - (1, 4) - (2, 3) - (3, 2) - (4, 1) - The graph has a downward slope. **Tasks:** (a) Evaluate \( (f \circ g)(2) \) (b) Evaluate \( (g \circ f)(2) \) **Note:** Use the graphs to find the values of the functions at the given points. Fill in the answers in the provided boxes.
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