5 6. Consider the function f(x) = 30: 2); 5x. 10 3 3win2 ' 2 The derivatives of this function are f'(x) = 5(x 2); 5 and f\"(x) = a) Find the intercepts, if any. [1 point] b) Does f(x) have symmetry? If so, what kind? [1 point] c) Find the critical numbers, and intervals of increase/decrease. [2 points] d) Identify local maxima/minima, if any. [2 points] e) Find points of inflection, if any, and intervals of concavity. [2 points] Continued on the next page. 6. (continued) f) Sketch the graph of f(x). Label any extreme values and any points of inflection. [1 point]