Use the given function and the given interval to complete parts a through c. f(x) = x° on [- 8,8] a. Find the critical point(s) of f on the given interval. b. Determine the absolute extreme values of f on the given interval when they exist. c. Use a graphing utility to confirm your conclusions. a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x =| (Use a comma to separate answers as needed.) B. There are no critical points of f on the given interval.

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Use the given function and the given interval to complete parts a through c.
4
f(x) = x° on [- 8,8]
a. Find the critical point(s) of f on the given interval.
b. Determine the absolute extreme values of f on the given interval when they exist.
c. Use a graphing utility to confirm your conclusions.
a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The critical point(s) occur(s) at x =
(Use a comma to separate answers as needed.)
B. There are no critical points of f on the given interval.
Transcribed Image Text:Use the given function and the given interval to complete parts a through c. 4 f(x) = x° on [- 8,8] a. Find the critical point(s) of f on the given interval. b. Determine the absolute extreme values of f on the given interval when they exist. c. Use a graphing utility to confirm your conclusions. a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed.) B. There are no critical points of f on the given interval.
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