Given that: f'(x) to the left of x=4 is negative f'(x) to the right of x=4 is positive S'(4)-0 What is true about f(4)? A. (4) does not exist B. (4) is an absolute minimum C. f(4) is a local maximum f(4) is an absolute maximum (4) is a local minimum D. E.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Q8
8. Given that:
f'(x) to the left of x = 4 is negative
f'(x) to the right of x = 4 is positive
f'(4)=0
What is true about f(4)?
A. (4) does not exist
B. f(4) is an absolute minimum
C. f(4) is a local maximum
D. f(4) is an absolute maximum
(4) is a local minimum
E.
Transcribed Image Text:8. Given that: f'(x) to the left of x = 4 is negative f'(x) to the right of x = 4 is positive f'(4)=0 What is true about f(4)? A. (4) does not exist B. f(4) is an absolute minimum C. f(4) is a local maximum D. f(4) is an absolute maximum (4) is a local minimum E.
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