Suppose f(x) is continuous on [2, 7] and -3 ≤ f'(x) ≤ 3 for all æ in (2, 7). Use the Mean Value Theorem to estimate ƒ(7) – ƒ(2). Answer: ≤ f(7) - f(2) ≤
Suppose f(x) is continuous on [2, 7] and -3 ≤ f'(x) ≤ 3 for all æ in (2, 7). Use the Mean Value Theorem to estimate ƒ(7) – ƒ(2). Answer: ≤ f(7) - f(2) ≤
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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 −3 ≤ f'(x) ≤ 3 for all x in (2, 7). Use the Mean Value Theorem to estimate ƒ(7) – ƒ(2).
Answer: ≤ f(7) - ƒ(2) ≤](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89e7fc9b-2d74-4b86-bca1-07d9b67ff60f%2Fe5b37cca-608b-40c2-8004-bd2848922ce9%2Fe8y3uud_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose f(x) is continuous on [2, 7] and −3 ≤ f'(x) ≤ 3 for all x in (2, 7). Use the Mean Value Theorem to estimate ƒ(7) – ƒ(2).
Answer: ≤ f(7) - ƒ(2) ≤
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