Absolute maximum and minimum

Use the given function and the given interval to complete parts a and b. f(x) = - 2x3 + 15x2- 24x on [0,5] a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. . . . a. What is/are the absolute maximum/maxima of f on the given interval? Select the correct choice below and, if necessary, fill in the answ choice. O A. The absolute maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) O B. There is no absolute maximum of f on the given interval. What is/are the absolute minimum/minima of f on the given interval? Select the correct choice below and, if necessary, fill in the answer b A. The absolute minimum/minima is/are at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) G O B. There is no absolute minimum of f on the given interval