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......................... Let an) : 71:4 7 6:133 + 9:1: 7 1. Find the open intervals on which f is concave up (down). Then determine the

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Let an) : 71:4 7 6:133 + 9:1: 7 1. Find the open intervals on which f is concave up (down). Then determine the :c-coordinates of all inection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inection points occur at a: = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of a: values or the word "none". 413 m+3 Let f(m) : . Find the open intervals on which f is concave up (down). Then determine the alt-coordinates of all inection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inection points occur at a: = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of :5 values or the word "none". Suppose that 62-2 f (ac ) = x2 + 36 (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(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) List the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. a values of local maxima = (E) List the x-coordinates of all local minima of f. 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(a) is concave down. Concave down: (H) List the a values of all inflection points of f. If there are no inflection points, enter 'NONE'. ac values of inflection points = (1) List all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = (J) List 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

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