The data in the chart below shows the critical numbers and selected values of the function and its derivative near those critical numbers. What can be determined about the extrema of fR -8 -6 -4 -2 4 6. 8. f(x) f '(x) | -12 -8 -6 -1 1 8 -2 3 2 4 -10

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 ?
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The data in the chart below shows the critical numbers and selected values of the function and its
derivative near those critical numbers. What can be determined about the extrema of f
-8
-6
-4
-2
2
4
8.
f (x)
2
-8
-6
-1
1
6.
8
-2
f (x) | -12
3
2
2
4
-10
a. relative minimum: Occurs at X
=-6; relative maximum: occurs at X= 6
b. relative maximum: occur at X=-6 and x=0; relative minimum: occurs at x= 6
c. relative maximum: occurs at X=-6; relative minimum: occurs at X= 6
d. relative minimum: occurs at X= 0
e. relative maximum: occurs at X=0
Transcribed Image Text:The data in the chart below shows the critical numbers and selected values of the function and its derivative near those critical numbers. What can be determined about the extrema of f -8 -6 -4 -2 2 4 8. f (x) 2 -8 -6 -1 1 6. 8 -2 f (x) | -12 3 2 2 4 -10 a. relative minimum: Occurs at X =-6; relative maximum: occurs at X= 6 b. relative maximum: occur at X=-6 and x=0; relative minimum: occurs at x= 6 c. relative maximum: occurs at X=-6; relative minimum: occurs at X= 6 d. relative minimum: occurs at X= 0 e. relative maximum: occurs at X=0
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