Sketch a graph, f such that f(-2)=4, f(3)=-2, f'(-2)=0, f'(3)=0, f'(x)>0 on (-infinity, 2) and (3, infinity), f'(x)<0 on (-2, 3) and f has an inflection point at (1,1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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Sketch a graph, f such that f(-2)=4, f(3)=-2, f'(-2)=0, f'(3)=0, f'(x)>0 on (-infinity, 2) and (3, infinity), f'(x)<0 on (-2, 3) and f has an inflection point at (1,1).

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