1. (05.05 MC) The second derivative of the function h is given by h"(x) = 5x3 - 15x. At what value(s) of x does the graph of h have a point of inflection? (1 point) O x=-\\3, x = 0, and x = V3 O x =0 and x = V3 O x=-V3 and x = V3 Ox = 0 only Q 2. (05.05 MC) Selected values of f' and f" are shown in the table for the twice-differentiable function f: X 0 0.5 1 1.5 2 2.5 3 f'(x) undefined -8 -3 -1.3333 -0.5 0 0.3333 f"(x) undefined 20 5 2.2222 1.25 0.8 0.5556 Which of the following is true, based on the information in the table? (1 point) Of has a point of inflection at x = 2.5 O f has a relative maximum at x = 2.5 Of has a relative minimum at x = 2.5 Of has neither a relative minimum nor a relative maximum at x = 2.5Q 3. (05.05 MC) The function f(x) is continuous over the interval [-2, 5] and has a critical point at x = 1. If f" is negative on this interval, which of the following is true? (1 point) Of has an absolute minimum at x = 1 Of has an absolute maximum at x = 1 Of has a relative minimum, but not an absolute minimum at x = 1 Of has a relative maximum, but not an absolute maximum at x = 1 Q 4. (05.05 MC) g" (x) = 2x The second derivative of function g is given by (1+ x2)" For which interval is the graph of g concave up? (1 point) O (-00, 2) O ( 2, 00 ) O (-00, 0) O (0, 00 ) Q 5. (05.05 MC) f' ( x ) = -2x x