Problem #3: Let f(x) be a function which is continuous on [-3,7] and differentiable on (-3,7). Suppose that f'(x) - 0 only when.x = -2 and x 4. Which of the following statements cannot be true about f(x)? (1) f(-2) is a local maximum and f(4) is a local minimum. (II) f(-2) is a local minimum and f(4) is a local maximum. (III) f(-2) and f(4) are both local maxima. (A) III only (B) II and III only (C) none of them (D) I and II only (E) I and III only (F) all of them (G) I only (H) II only

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