Let f(x) be differentiable for all x on R. Suppose that f(0) = -2 and that f'(x) ≤ 1 for all x on R. Use the Mean Value Theorem to show that f(4) ≤ 2.
Let f(x) be differentiable for all x on R. Suppose that f(0) = -2 and that f'(x) ≤ 1 for all x on R. Use the Mean Value Theorem to show that f(4) ≤ 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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Let f(x) be differentiable for all x on R. Suppose that f(0) = -2 and that f'(x) ≤ 1 for
all x on R. Use the Mean Value Theorem to show that f(4) ≤ 2.
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