PAGE 178 4. Suppose f is a function that is differentiable on the open
interval (-2,8). If f(0) = 3, f (2) = -3, and f(7) = 3,
which of the following must be true?
I. f has at least 2 zeros.
a
II. f is continuous on the closed interval (-1,7].
III. For some c, 0 < c <7, f(c) = -2.
(A) I only
(B) I and II only
(C) II and III only (D) I, II, and III