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Mathematics, 04.10.2021 16:20 savannahvargas512

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.
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

PLEASE ADD AN EXPLANATION PLEASE!

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