Answer the following questions about the function whose derivative is f'(x)=(x-2)(x+5)(x-9). 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? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 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. 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 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 interval(s) and never decreasing. and never increasing. c. List the points, if any, where f assumes a local maximum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. x= CEL QA (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local maximum. List the points, if any, where f assumes a local minimum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.