2(1 :52) Suppose x) is a continuous function for every value of :1: whose first derivative is f '(m) = 1 + 2 :2: 4a: m2 3 and f ' '(w) = (2). Further, assume that it is known that f has a horizontal asymptote at y = 0. (1 + $2) a. Find the critical value(s). If there is more than one, use commas to separate them. 06 b. On what interval(s) is at) increasing? (Ll) o' c. On what intervals(s) is f(m) decreasing? (00,1)U(1,oo) c6 d. For which value(s) of a: does f(a:) have a local minimum? 'x o\" e. For which value(s) of a: does f(:z:) have a local maximum? v d' Ii f. Find the inflection points. 0,\\/,\\/ o' g. On which interval(s) is x) concave up? (1.732050808,0) U (0,1.732050808) x h. On which interval(s) is f(m) concave down