Find (with justification) the vertical and horizontal asymptotes of the function f(I). (show all work)-37-2 54r 162(x2 + 3) Let f(x) = 12 - 9 f (@) = (72 -9)2 and f (@) = (12 - 9)3 Use this function and its derivatives to answer questions 1 a. through to 1 e.- Find the domain of the f. - Find all z-interceptls) (or state they don't exist). . Find all y-interceps) (or state they don't exist). (show all work for all the above) . Find the critical points of f(). Find the open interval(s) where f(I) is increasing and the open interval(S) where f(x) is decreasing. (show all work) . State the coordinates of any local maxima and local minima