22. Explain why the Mean Value_Theorem for Integrals applies to the function f(x) = x² on the interval [-2, 5]. Next state the conclusion of the Mean Value Theorem for Integrals in this particular case, and sketch a graph illustrating your conclusion. Then find all the values c E [-2,5] for which f(C) is equal to the average value of f on [-2, 5], and indicate these values on your graph.

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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22. Explain why the Mean Value_Theorem for Integrals
applies to the function f(x) = x² on the interval [-2, 5].
Next state the conclusion of the Mean Value Theorem
for Integrals in this particular case, and sketch a graph
illustrating your conclusion. Then find all the values c E
[-2,5] for which f(C) is equal to the average value of f on
[-2, 5], and indicate these values on your graph.
Transcribed Image Text:22. Explain why the Mean Value_Theorem for Integrals applies to the function f(x) = x² on the interval [-2, 5]. Next state the conclusion of the Mean Value Theorem for Integrals in this particular case, and sketch a graph illustrating your conclusion. Then find all the values c E [-2,5] for which f(C) is equal to the average value of f on [-2, 5], and indicate these values on your graph.
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