Suppose f(x) is continuous on [2,7] and -5 ≤ f'(x) ≤ 2 for all in (2,7). Use the Mean Value Theorem to estimate ƒ(7) - f(2). Answer: ≤ f(7)-f(2) ≤

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Suppose f(x) is continuous on [2, 7] and -5 ≤ f'(x) ≤ 2 for all in (2,7). Use the Mean Value Theorem to estimate
ƒ(7) - ƒ(2).
Answer: ≤ f(7) - f(2) ≤0
Transcribed Image Text:Suppose f(x) is continuous on [2, 7] and -5 ≤ f'(x) ≤ 2 for all in (2,7). Use the Mean Value Theorem to estimate ƒ(7) - ƒ(2). Answer: ≤ f(7) - f(2) ≤0
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