Answer the following questions about the function whose derivative is f'(x) = x(x + 2).

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?

OB. The function f has no critical points.

Question 14 of 20

OA. The function f has a local maximum at x =

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.)

and never increasing.

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

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

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

and decreasing on the open interval(s)

and never decreasing.

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.

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

O B. There is no local maximum.

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This test: 20 point(s) possible

This question: 1 point(s) possible

OA. There is no local minimum.

B. The function f has a local minimum at x =

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

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

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