f(–5) = f(4) = 0; f '(-0.5) = 0, f '(x) < 0 for x < -0.5; f '(x) > 0 for x > -0.5 What is the function with those given characteristics

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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f(–5) = f(4) = 0;  f '(-0.5) = 0,  f '(x) < 0 for x < -0.5;  f '(x) > 0 for x > -0.5

What is the function with those given characteristics

 

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