Problem Suppose that 7 f(z) = 12 - 49 (A) List all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = 0 (B) Use interval notation to indicate where f() is increasing. Note: Use 'Inf for oo, '-Inf for -oo, and use 'U' for the union symbol. Increasing: (-00,-7) U (-7,00) (C) Use interval notation to indicate where f() is decreasing. Decreasing: (0,00) (D)List the -coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. values of local maxima = -7 (E) List the x-coordinates of all local minima of f. If there are no local minima, enter 'NONE' x values of local minima = 7 (F) Use interval notation to indicate where f(I) is concave up. Concave up: (-00,-7) U (7,00) (G) Use interval notation to indicate where f(x) is concave down. Concave down: (-7,7) (H) List the x values all inflection points of f. If there are no inflection points, enter 'NONE'. Inflection points = 0 (1) List all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE' Horizontal asymptotes y = 0 (J) List all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. Vertical asymptotes = = -7,7 (K) 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: 1