Determine the location and value of the absolute extreme values of f on the given interval, if they exist.
f(x) = 2x^3 - 33x^2 + 168x on [3,8]
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 boxes to complete your choice.
A. The absolute maximum/maxima is/are at x = .
(Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
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 boxes to complete your choice.
A. The absolute minimum/minima is/are at x = .
(Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
B. There is no absolute minimum of f on the given interval.