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a. What are the critical points of f?

b. On what open intervals is f increasing or decreasing?

c. At what points, if any, does f assume local maximum and minimum values?

Question 14 of 20

OA. The critical point(s) of f is/are x =

(Simplify your answer. Use a comma to separate answers as needed.)

OB. The function f has no critical points.

a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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This quiz: 20 point(s) p

This question: 1 point(

O A. x=

(Simplify your answer. Use a comma to separate answers as needed.)

OB. There is no local maximum.

b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice.

(Type your answer in interval notation. Use a comma to separate answers as needed.)

OA. The function is increasing on the open interval(s)

OB. The function f is increasing on the open interval(s)

OC. The function f is decreasing on the open interval(s)

and decreasing on the open interval(s)

and never decreasing.

and never increasing.

c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice./nAnswer the following questions about the function whose derivative is f'(x) = (x − 4)²(x + 8).

a. What are the critical points of f?

b. On what open intervals is f increasing or decreasing?

c. At what points, if any, does f assume local maximum and minimum values?

U B. The junction i has no critical points.

OA. x=

Question 14 of 20

b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice.

(Type your answer in interval notation. Use a comma to separate answers as needed.)

OA. The function is increasing on the open interval(s)

OB. The function f is increasing on the open interval(s)

OC. The function f is decreasing on the open interval(s)

and decreasing on the open interval(s)

and never decreasing.

and never increasing.

c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, I in the answer box to complete your choice.

(Simplify your answer. Use a comma to separate answers as needed.)

O A. x=

>

OB. There is no local maximum.

Determine the local minimum/minima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

(Simplify your answer. Use a comma to separate answers as needed.)

OB. There is no local minimum.

This quiz: 20 point(s)

This question: 1 point

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