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Suppose that f(x) = 626 - 225. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers =
Suppose that f(x) = 626 - 225. (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(x) 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'. a values of inflection points = (1) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = () 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 f(x) = 4x2 In(x), 0. (A) List all the critical values of f(a). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for oo, '-INF' for -co, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the a values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maximums = (E) List the a values of all local minima of f(x). If there are no local minima, enter 'NONE'. x values of local minimums = (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 the 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. Include all vertical and/or horizontal asymptotes. When you're finished, enter a "1" in the box below. Graph complete
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