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(1 point) Consider the function f() = 9x + 6x- For this function there are four important intervals: (-oo, A], [A, B), (B, C'), and [C, oo) where A, and C' are the critical numbers and the function is not defined at B. Find A and B and C For each of the following intervals, tell whether f() is increasing (type in INC) or decreasing (type in DEC). (-00, A]: [A, B): (B, C] : [C, 00):2 4 (1 point) Let w) = 8 l 2. Find the open intervals on which f is increasing (decreasing) Then determine the micoordinales otall relative maxima (minimal. if! :1: 1. f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f occur at x = 4. The relative minima of f occur at x = Notes: In the rst 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 two, your answer should be a comma separated list of x values orthe word "none". (1 point) Answer the following questions for the function f() = x2 - 25 defined on the interval [-17, 16]. Enter points, such as inflection points in ascending order, i.e. smallest x values first. Enter intervals in ascending order also. A. The function f() has vertical asympototes at and B. f(x) is concave up on the region to and to C. The inflection point for this function is(1 point) Suppose that f(x) = 22 - 4 (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() is decreasing. Note: Use 'INF' for oo, '-INF' for -oo, and use 'U' for the union symbol. Decreasing: (C)List the x-values of all local maxima of f. If there are no local maxima, enter "NONE'. values of local maxima = (D) List the x-values of all local minima of f. If there are no local minima, enter 'NONE'. values of local minima = (E) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'. Inflection points = (F) Use interval notation to indicate where f() is concave up. Concave up: (G) Use interval notation to indicate where f() is concave down. Concave down: (H) List all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = (1) List all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. vertical asymptotes x = (J) 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 p0|nt)A rectangle is Inscribed With Its base on the mains and its upper corners on the parabola y = 10 m2 What are the dimensions of such a rectangle with the greatest possible area? Width 2 Height 2