Assume that we know that f(x) is continuous and differentiable on the interval [−7, 0], and that f(-7) = −3 and that f'(x) ≤ 2. What is the largest possible value for f(0)? Use the Mean Value Theorem. Obtain an inequality of the form f(0) ≤ M where M is the largest value that f can take.
Assume that we know that f(x) is continuous and differentiable on the interval [−7, 0], and that f(-7) = −3 and that f'(x) ≤ 2. What is the largest possible value for f(0)? Use the Mean Value Theorem. Obtain an inequality of the form f(0) ≤ M where M is the largest value that f can take.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 79E
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Assume that we know that f(x) is continuous and differentiable on the interval [−7, 0], and that f(-7) = −3 and that f'(x) ≤ 2. What is the largest possible value for f(0)? Use the Mean Value Theorem. Obtain an inequality of the form f(0) ≤ M where M is the largest value that f can take.
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