Sketch the graph of f with the following characteristics: f(2)=f(4)=0 f(3) is defined f'(x)<0 if x<3 f'(3) does not exist f'(x)>0 if x>3 f"(x)<0 if x not equal to 3

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 8CC: What does it mean to say that f(4) is a local maximum valueof f ?
Question

Sketch the graph of f with the following characteristics:

f(2)=f(4)=0

f(3) is defined

f'(x)<0 if x<3

f'(3) does not exist

f'(x)>0 if x>3

f"(x)<0 if x not equal to 3

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