Consider the following function. f(x) = x3 - 9x2+ 27x+8 (a) Make a sign diagram for the first derivative. ---Select--- v ---Select--- v ---Select--- v X= Enter an exact number. (b) Make a sign diagram for the second derivative. ---Select--- ---Select--- v ---Select--- X = (c) Sketch the graph, showing all relative extreme points and inflection points. -44 40 40 40 IP IP 20 20 20 -4 -2 2 4 -4 -2 2 X 4 -4 - 2 4 -20 20 -20 IP -40 O -40 -40 -4 40- 20 X -4 -2 2