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Let ay) : :t4 6:1:3 + 91' 1. Find the open intervals on which 1' is concave up (down). Then determine the m-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 :1: = 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 :1: values or the word "none". 4m3 m+3 . Find the open intervals on which f is concave up (down). Then determine the m-coordinates of all inection points of f. Let f(a:) : 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inection points occur at x = 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 :1: values or the word "none". Suppose that 67-2 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(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( ) 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 ( ) 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) 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