Given the derivative of the function f(x) is f′(x)=2x2−2x−24 which of the following statements is true?   a. f(x) has an inflection point at x=2 b. f(x) has an inflection point at x=1/2 c. f(x) has a local minimum at x=−3 d. f(x) has a local minimum at x=−4  e. f(x) has a local maximum at x=4

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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Given the derivative of the function f(x) is f′(x)=2x2−2x−24 which of the following statements is true?

 

a.

f(x) has an inflection point at x=2

b.

f(x) has an inflection point at x=1/2

c.

f(x) has a local minimum at x=−3

d.

f(x) has a local minimum at x=−4 

e.

f(x) has a local maximum at x=4

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