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Suppose that f(x) = 310 - 3x5. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers =
Suppose that f(x) = 310 - 3x5. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = 0,.833 (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: (.833,00) (C) Use interval notation to indicate where f() is decreasing. Decreasing: (-00,.833) (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE' x values of local maxima = none (E) Find the a-coordinates of all local minima of f. Note: If there are no local minima, enter 'NONE'. values of local minima = .833 (F) Use interval notation to indicate where f() is concave up. Concave up: (.833,90) (G) Use interval notation to indicate where f(x) is concave down. Concave down: (-20,0) (H) List the a values of all inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = none (1) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = none (J) Find all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. Vertical asymptotes I = none (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
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