Let f(x) be the function defined below. f(x) = 9r In(x), 0 For each of the following, enter DNE if no such answer exists. Enter multiple values in a comma-separated list. Enter intervals using interval notation, including the union symbol when entering multiple intervals if necessary. a. Determine all critical x-value(s) of f(x). Critical value(s): b. Determine the interval(s) where f(x) is increasing. Increasing: c. Determine the interval(s) where f(x) is decreasing. Decreasing: d. Determine the x-coordinate(s) of all local maxima of f(x). r-value(s) of local maxima: e. Determine the x-coordinates of all local minima of f(z). x value(s) of local minima: f. Determine the interval(s) where f(x) is concave up. Concave up: g. Determine the interval(s) where f(x) is concave down. Concave down: h. Determine the x-value(s) of all inflection point(s) of f(x). r-value(s) of inflection point(s): i. Use all of the preceding information to sketch a graph of f(x) on your own paper. Change the following to Yes when you're done. Graph complete: ?Suppose that f(x) = (2+4)(1 -6)2 (A) List all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for oo, '-INF' for -oo, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = (E) List the x-coordinates of all local minima of f. If there are no local minima, enter 'NONE'. x values of local minima = (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(r) is concave down. Concave down: (H) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = (1) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below. Graph Complete