Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How large can f(5) possibly be?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of
x. How large can f(5) possibly be?

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