Section 4.3 How Derivatives Affect the Shape of a Graph 1. [6 pts] Let f (x) = x3(5 - 2x). a) Find the critical number(s) of f. b) Find the open interval(s) on which fis increasing and the open interval(s) on which f is decreasing c) Find the local minimum value(s) and local maximum value(s) off, if any. d) Find the open interval(s) where fis concave upward and the open interval(s) where f is concave downward. e) Find the inflection points of the graph off, if any.2. [6 pts] Let f (x) = ln(x2 + 9). a) Find the critical number(s) off. b) Find the open interval(s) on which f is increasing and the open interva1(s) on which f is decreasing. c) Find the local minimum value(s) and local maximum value(s) of f, if any. d) Find the open interval(s) where f is concave upward and the open interva1(s) where f is concave downward. e) Find the inection points of the graph off, if any