1 [35 pts] Let f(@) = 144 ( + 6)(x - 2)3 = 144 (dominant term) + ... Find the following assuming that you know (don't compute these derivatives! since they are given) f'(x) = = (1+4)(x -2)? and f"(x) = (x+ 2)(x -2) a) the r-intercepts and the y-intercept of the graph of f. b) the end-point behavior of the graph of f, that is, find lim, +-x f(x) and lim, +too f(x). c) the critical points of f (if any). TABLE: d) the intervals of increase and intervals of decrease of function f. e) the local maximum and minimum values (if any) of function f. TABLE: f) the intervals of concavity for the graph of f. g) the inflection points (if any) for the graph of f. h) the local extrema of f using the Second-Derivative Test (if the test applies.) i) the global extrema of f on the interval [-6, 0]. i) the global extrema of f on the interval [-2, 0]