(D) 4.6 (E) 5.4 8. Let be a continuous function such that (1) = 2 and (3) = 7. Which of the following must be true for the function j j j j on the interval 3? 1 ≤ x ≤ I. II. The average rate of change of on the interval [1 , 3] is . j III. for some in the interval [1 , 3]. c (A) I only (B) II only (C) III only (D) II and III only (E) I, II and III 9. Let be the function defined above. For what value of is continuous at = 2? f k f x 10. The graph of the function is shown above. Which of the following statements is false? f (A) exists. (B) exists. (C) exists. (D) exists. (E) The function is continuous at = 3. f x
(D) 4.6 (E) 5.4 8. Let j be a continuous function such that j (1) = 2 and j (3) = 7. Which of the following must be true for the function j on the interval 1 ≤ x ≤ 3? I. II. The average rate of change of j on the interval [1 , 3] is . III. for some c in the interval [1 , 3]. (A) I only (B) II only (C) III only (D) II and III only (E) I, II and III 9. Let f be the function defined above. For what value of k is f continuous at x = 2? 10. The graph of the function f is shown above. Which of the following statements is false? (A) exists. (B) exists. (C) exists. (D) exists. (E) The function f is continuous at x = 3.