For the given function:(a) Find the intervals on which the function is increasing and decreasing. (b) Then identify the function's local extreme values, if any, saying where they are taken on.(c) Which, if any, of the extreme values are absolute?k(x) = x3 - 12x
What will be an ideal response?
(a) increasing on (-?, - 2) and (2, ?); decreasing at (- 2, 2)
(b) local maximum at x = - 2 (- 2, 16); local minimum at x = 2 (2, -16)
(c) no absolute extrema
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