Suppose that f(x) = 1lx - 6In(x), r > 0. (A) List all critical numbers of f . If there are no critical values, enter 'NONE'. Critical numbers = (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for oo, '-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'. x 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) List the a values of all inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = (H) 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:Suppose that at) = [8 Sager. (A) List all the critical values ofm). Note: If there are no critical values, enter 'NONE'. J". (B) Use interval notation to indicate where at) is increasing. Note: Use 'INF' for Do, 'INF' for 00, and use 'U' for the union symbol. Increasing: y" (C) Use interval notation to indicate where re) is decreasing. Decreasing: y: (D) List the a: values of all local maxima of ar). If there are no local maxima, enter 'NONE'. m values of local maximums = f v (E) List the 2 values of all local minima of 1"(2). If there are no local minima, enter 'NONE'. a: values of local minimums = if, (F) Use interval notation to indicate where {(m) is concave up. Concave up: m1 {G} Use interval notation to indicate where f(a:) is concave down. Concave down: v' (H) List the a: values of all the inection points of f. If there are no inection points, enter 'NONE'. a: values of inection Points = f. (I) Use all of the preceding information to sketch a graph of f. Include all vertical and/or horizontal asymptotes. When you're nished, enter a "1" in the box below. f. Suppose that it is given to you that Then the rst local extremum (from the left) for f(z) occurs at .r : The function f(::) has a local at this point. The second local extremum (from the left) For m) occurs at a: : The function m) has a local at this point. The third local extremum (from the left) for f(m) occurs at :11 : The function f[:1:) has a local at this point. The rst inflection point (from the left) for f(:t) occurs at z = The second inection point (from the left) For z) occurs at a: = NE) = (m + 4)\"? - m)(12 - z)