(10 points) Suppose that f(x) = x4 - 5x3. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. 0, -16875/256 (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for co, '-INF' for -co, and use 'U' for the union symbol. Increasing: (15/4, infinity) (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (-infinity, 0) U (0,15/4) (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maximums = none (E) List the x values of all local minima of f(x) . If there are no local minima, enter 'NONE'. x values of local minimums = 15/4 (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = none (1) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below