2. Let f be a twice differentiable function such that f(1) = 2 and f(3) =...
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2. Let f be a twice differentiable function such that f(1) = 2 and f(3) = 7. Which of the following must be true for the function f on the interval 1 ≤ x ≤ 3? 5 I. The average rate of change of fis 9 II. The average value of f is 2 5 III. The average value of f' is (A) None (B) I only (C) III only (D) I and III only (E) II and III only 2. Let f be a twice differentiable function such that f(1) = 2 and f(3) = 7. Which of the following must be true for the function f on the interval 1 ≤ x ≤ 3? 5 I. The average rate of change of fis 9 II. The average value of f is 2 5 III. The average value of f' is (A) None (B) I only (C) III only (D) I and III only (E) II and III only
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