answer all the questions along with options

Home Assignment 3 - AP Derivative Theory x-1 1. If Tim /(x) - 7, which of the following must be true? I. f is continuous at x - 1. II. f is differentiable at x - 3. III. / (3) - 7 (A) None (B) ll only (C) III only (D) 1 and III only (E) [, II, and Ill 2. For all & in the closed interval (2, 5], the function f has a positive furst derivative and a negative second derivative. Which of the following could be a table of values for / ? (A) /(x) C x f(x) 2 2 16 2 16 3 3 12 3 13 14 9 4 10 16 16 15 - 2 O 2 -2 3. The graph of the function / shown in the figure above has a vertical tangent at the point (2. Of and horizontal tangents at the points (1, -() and (3, 1). For what values of a. -2