Consider the curve given by the function f(x) with x * 0. You are given that: f' (x) = - -9(x2 - 9) 18(x2 - 18) and f " (x ) = Compile the following information about f(x) and its graph. Show all your work . Answer "NONE" if the function does not display a feature listed. a) [2 points] Find the critical number(s) of f and show your work to justify. b) [4 points] Find the open interval(s) where f is increasing and the open interval(s) where f is decreasing. Show your work to justify. c) [4 points] Find the x coordinate(s) of all local minima of f, and all local maxima of f. Show your work to justify. d) [4 points] Find the open intervals where f is concave up and the open intervals where f is concave down. Show your work to justify. e) [2 points] Find the x coordinate(s) of all inflection point(s), and show your work to justify