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(3 points) Suppose that f(x)=2x-3x5. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = (B)
(3 points) Suppose that f(x)=2x-3x5. (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 , '-INF' for-00, 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'. I values of local maxima = (E) Find the x-coordinates of all local minima of f. Note: If there are no local minima, enter 'NONE'. I 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 values of all inflection points of f. If there are no inflection points, enter 'NONE'. I values of inflection points= (I) 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 = (K) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below. You may need to turn in your sketch in class. Graph Complete:
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