Consider the function ()=(−4)3. Use ′()=4(−1)(−4)2 and ′′()=12(−2)(−4) to: a. Find all x and y intercepts, and any asymptotes.
b. Find the critical points
c. Determine the intervals where f is increasing/decreasing and find all local extrema.
d. Determine the intervals where f is concave up/concave down and find all points of inflection.
e. Then sketch the graph, labeling all extrema and points of inflection. You may use the attached grid to
organize your work.