Use the given function and the given interval to complete parts a and b. f(x) = - 2x* + 45x- - 300x on [4,11] 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 answer box to complete your choice. A. The absolute maximum/maxima is/are - 500 at x= 10. (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 off on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The absolute minimum/minima is/are - 625 at x = 5. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) O B. There is no absolute minimum of f on the given interval.O A. OB. O C. AY 3200- O O D. AY -1100- Ay 640- O -500 Ty e 1100 X -3200- 500- 11 -640