Let f(x) = x3 + 9x2 + 14. For each of the following questions, you MUST show supporting work with calculus and algebra for credit. Answers without supporting work will not receive credit. a) (4 points) Determine the x-coordinate of any point(s) of inflection of f (x). Place your answer(s) in the box below. x-coordinate of the point(s) of inflection: b) (6 points) If we just consider f (x) = x3 + 9x2 + 14 on the interval [-1, 1], determine the locations and value(s) of the absolute maximum and absolute minimum of f (x) on the given interval. Place your answer(s) in the boxes below. Absolute maximum as an (x, y)-pair Absolute minimum as an (x, y)-pair Initials