For this problem, consider the function y=f(x)= x 3 * 2 - (a) The y intercept is the point ( (b) The only x intercept is at x= (c) The left-most vertical asymptote has equation x= (d) The right-most vertical asymptote has equation x= (e) What is the formula for f'(x) = (f) How many critical numbers are there for f(x) (g) There are three critical numbers c having the property that f'(c)=0; list these in increasing order: (h) The open intervals on which f(x) is increasing. (Enter the interval that contains smaller numbers first. If you need to use -00 or co, enter -infinity or infinity.) (i) The open intervals on which f(x) is decreasing. (Enter the interval that contains smaller numbers first. (If you need to use -00 or 00, enter -infinity or infinity.)(j) There is a local minimum occurring at c= (k) The formula for F"(x)= (I) The open intervals on which f(x) is concave up. (Enter the interval that contains smaller numbers first. (If you need to use -00 or co, enter -infinity or infinity.) (m) The open intervals on which f(x) is concave down. (Enter the interval that contains smaller numbers first. If you need to use -00 or 00, enter -infinity or infinity.) (n) T or F: There is an inflection point at (-V3,f(-V/3)) O True O False (o) T or F: There is an inflection point at (0,f(0)) O True O False (p) T or F: There is an inflection point at (V3,f(V3)) True O False (q) The graph of y=f(x) is best represented by which of the following pictures (select A, B, C or D): OA OB OC OD B C vi D