Suppose that (A) Find all critical values of f. compute their average, and enter it below. Note: If there are no critical values, enter-1000. Average of critical values= 0,25/42 (B) Use interval notation to indicate where f(z) is increasing. Note: Enter for oo, -for-oo, and 'U' for the union symbol If you have extra boxes, fill each in with an X. Increasing: (C) Use interval notation to indicate where f(x) is decreasing Decreasing: f(x)-72³-52³.

Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Øif the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such intervals exists.) f is increasing on: f is decreasing on: fis concave up on: fis concave down on: Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such where needed. Let y = asymptote exists.) vertical asymptote(s): horizontal asymptote(s): Use the graphing utility to graph f. f(x) = -6 -3 18- 12 9 -6 b 3 0 ડે…