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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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**Evaluate: \( f(g(-8)) \)** **Graphs and Explanation:** 1. **Graph of \( y = f(x) \):** - The graph is a V-shaped piecewise linear function resembling an absolute value function. - The vertex of the V is at the origin (0,0). - The function decreases linearly with a negative slope as \( x \) moves from left to zero and increases linearly with a positive slope from zero onward. - The graph is symmetric about the y-axis. 2. **Graph of \( y = g(x) \):** - The graph is a parabola opening upwards. - The vertex of the parabola appears to be at the origin (0,0). - The graph is symmetric about the y-axis. **Question:** - Use the function graphs to evaluate \( f(g(-8)) \). **Answer Box:** - There is a text box for inputting the answer, followed by a "Submit Answer" button.
Transcribed Image Text:**Evaluate: \( f(g(-8)) \)** **Graphs and Explanation:** 1. **Graph of \( y = f(x) \):** - The graph is a V-shaped piecewise linear function resembling an absolute value function. - The vertex of the V is at the origin (0,0). - The function decreases linearly with a negative slope as \( x \) moves from left to zero and increases linearly with a positive slope from zero onward. - The graph is symmetric about the y-axis. 2. **Graph of \( y = g(x) \):** - The graph is a parabola opening upwards. - The vertex of the parabola appears to be at the origin (0,0). - The graph is symmetric about the y-axis. **Question:** - Use the function graphs to evaluate \( f(g(-8)) \). **Answer Box:** - There is a text box for inputting the answer, followed by a "Submit Answer" button.
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