Sketch a graph of a function having the given properties. f(2) = 2, f′(2) = 0, f′(x) > 0 on (−∞,2), f′(x) > 0 on (2,∞), f′′(x) < 0 on (−∞,2), f′′(x) > 0 on (2,∞).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 42E
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Sketch a graph of a function having the given properties.

f(2) = 2, f′(2) = 0, f′(x) > 0 on (−∞,2), f′(x) > 0 on (2,∞), f′′(x) < 0 on (−∞,2), f′′(x) > 0 on (2,∞).

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