Hello, Seeking guidance to help double check my answer on this homework lab question. Any reply is greatly appreciated, Full walkthrough is not needed.

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Answer the following questions about the function whose derivative is f'(x) = (x + 5) e -*. 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. O A. The critical point(s) of fis/are x = (Simplify your answer. Use a comma to separate answers as needed.) O B. 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.) O A. The function f is increasing on the open interval(s) , and decreasing on the open interval(s) O B. The function f is increasing on the open interval(s) , and never decreasing. O C. The function f is decreasing on the open interval(s) , 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. O A. The function f has a local maximum at x = (Simplify your answer. Use a comma to separate answers as needed.) O B. 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. O A. The function f has a local minimum at x = (Simplify your answer. Use a comma to separate answers as needed.) O B. There is no local minimum