Suppose that f(x) = 3x / x2 - 4. List all critical numbers of f. If there are no

Question

Suppose that f(x) = 3x / x2 - 4. List all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = Use interval notation to indicate where f(x) is decreasing. Note: Use 'INF' for infinity, '-INF' for -infinity, and use 'U' for the union symbol. Decreasing: List the x-values of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = List the x-values of all local minima of f. If there are no local minima, enter 'NONE'. x values of local minima = List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'. Inflection points = Use interval notation to indicate where f(x) is concave up. Concave up: Use interval notation to indicate where f(x) is concave down. Concave down: List all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = 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:

Explanation / Answer

a. 0 b.-INF U INF C.NONE D. -1 AND 1 E. 0 F. (-1,0) AND (0, INF) G. (-INF,-1) and (0,1) h. y=0 I. x=-1 and x=1

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