/3, If f is a differentiable function, then / (a) is given by which of the following? I. lim /(e + h) - fo) II. lim * - 0 III. lim (A) I only (H) l only (C) I and II only (D) I and III only (E) i. II, and III 2 4. x 3 3 34 3.5 3,6 3.7 (x) 3.69 3,96 6.25 4.56 4.89 Let f be a differentiable function that is defined for all real numbers r. Use the table above to estimate F(35). (A) 03 (H) L.8 (C) 27 (D) 3.0 (B).6.0 15. The graph of y = f'(x) is shown. Which of the following statements about the function f(x) are true? I. /(x) is decreasing for all x between a and c. II. The graph of fis concave up for all & between a and c. III. /(:) has a relative minimum at x = a. (A) I only (B) 11 only (C) III only (D) I and III (E) |, HI, and III /6. Let f be a twice-differentiable function whose derivative f' (x) is increasing for all x. Which of the following must be true for all x? I. /(x) >0 II. f(x) >0 III. ()30 (A) I only (B) II only (C) III only (D) I and II (E) II and