Consider the function f(:1:) : 6m3 36:192 I 90$ 5. (a) f is increasing for :1; E (b) f is decreasing for m E (c) The local maxima of f occur at ac : (d) The local minima off occur at so : Note: Input U, infinity, and -infinity for union, co, and 00, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none