Practice problems for exam thank you

Question 5: Suppose f(x) is some polynomial function with derivative f'(x) = (x + 15)(x 2)3(x + 6)2. a. (1 point) List all the critical numbers for x) b. (4 points) Determine the open intervals where f(x) is increasing and decreasing. You SHOULD tell the grader your procedure so we can give you the benet of the doubt. c. (2 points) Explain how to use the derivative (or your answer in b) to locate relative maximums of f(x). Does f(x) have any relative maximums? If yes, where? Answer both parts! d. (2 points) Explain how to use the derivative (or your answer in b} to locate relative minimums of for). Does f (x) have any relative minimums? If yes, where? Answer both parts