Suppose that 5x f(x) = x2 - 25 (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 decreasing. Note: Use 'INF' for co, '-INF' for -co, and use 'U' for the union symbol. Decreasing: (C) List the x-values of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = (D) List the x-values of all local minima of f. If there are no local minima, enter 'NONE'. x values of local minima = (E) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'. Inflection points = (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 all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = (1) List all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. vertical asymptotes x = ()) 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:Suppose that f(x) = 626 - 725. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = (B) Use interval notation to indicate where f(a) is increasing. Note: Use 'INF' for co, '-INF' for -co, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = (E) Find the x-coordinates of all local minima of f. Note: 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(x) is concave down. Concave down: (H) List the a values of all inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = (1) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = (J) Find all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. Vertical asymptotes x = (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:Suppose that it is given to you that f'f-T) = (E + 3)(10 - 9903 - 3) Then the rst local extremum (from the left) for at) occurs at m = I The Function at) has a local at this point. The second local extremum (from the left) for at) occurs at :1: = pf, The function x) has a local 31: this point. The third local extremum (from the left) for z) occurs at z: : j The function at) has a local at this point. The rst inection point (from the left} for m) occurs at as : I The second inection point (From the left) for z) occurs at a: = '9