Suppose that f(z) (a) List the x-values of all critical points of f (x ). Note: If there are no critical points, enter 'NONE'. (B) Use interval notation to indicate where f (x) is increasing. (A function is increasing if larger x-values give larger y-values. Don't include points where the function changes from increasing to decreasing, or from decreasing to increasing.) Note: Use 'INF' for oo, "-INF' for -co, and use "U' for the union symbol. Increasing: (C) Use interval notation to indicate where f (r) is decreasing. (A function is decreasing if larger x-values give smaller y-values. Don't include points where the function changes from increasing to decreasing, or from decreasing to increasing.) Decreasing: (D) List the a values of all local maxima of f (x). If there are no local maxima, enter 'NONE'. ac values of local maximums = (E) List the a values of all local minima of f(). If there are no local minima, enter 'NONE' values of local minimums = (F) Use interval notation to indicate where f (z) is concave up. Concave up: (G) Use interval notation to indicate where f(z) 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' values of inflection points = ([) Use all of the preceding information to sketch a graph of f. (You do not need to hand this in, but it is an important skill to practice) Note: You can earn partial credit on this problem. mit Answers