(D).
(D) In (D), f(x) is not defined at x = 0. Verify that each of the other
functions satisfies both conditions of the Mean Value Theorem.
(D) The signs within the intervals bounded by the critical points are
given below.
Since f changes from increasing to decreasing at x = −3, f has a local
maximum at −3. Also, f has a local minimum at x = 0, because it is
decreasing to the left of zero and increasing to the right.
(B) Since , then
(C).