Please solve and show all steps
B. f(x) is concave up on the region to and 1. (1 point) Consider the function f(x) = 6x + 8x-1. to For this function there are four important intervals: (-0o, A], C. The inflection point for this function is [A, B),(B, C), and [C,co) where A, and C are the critical numbers Answer(s) submitted: and the function is not defined at B. Find A and B and C - For each of the following intervals, tell whether f(x) is increase ing (type in INC) or decreasing (type in DEC). (-0o, A]: [A, B): _ (incorrect) (B, C): 4. (1 point) Suppose that C, 00): Answer(s) submitted: 7x f ( x ) = - x2 -4' (A) List all critical numbers of f. If there are no critical num- bers, enter 'NONE'. Critical numbers = (incorrect) (B) Use interval notation to indicate where f(x) is decreas ing. 2. (1 point) Let f(x) = 8 - 4+2 . Find the open inter- Note: Use 'INF' for co, '-INF' for -co, and use 'U' for the union symbol. vals on which f is increasing (decreasing). Then determine the Decreasing: x-coordinates of all relative maxima (minima). (C) List the x-values of all local maxima of f. If there are no I. f is increasing on the intervals local maxima, enter 'NONE'. 2. f is decreasing on the intervals * values of local maxima = 3. The relative maxima of f occur at x = (D) List the x-values of all local minima of f. If there are no 4. The relative minima of f occur at x = local minima, enter 'NONE'. x values of local minima = - Notes: In the first two, your answer should either be a single (E) List the x values of all inflection points of f. If there are interval, such as (0,1), a comma separated list of intervals, such no inflection points, enter 'NONE'. as (-inf, 2), (3,4), or the word "none". Inflection points = In the last two, your answer should be a comma separated list (F) Use interval notation to indicate where f(x) is concave of x values or the word "none". up. Answer(s) submitted: Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: H) List all horizontal asymptotes of f. If there are no hori- (incorrect) zontal asymptotes, enter 'NONE'. Horizontal asymptotes y = 3. (1 point) Answer the following questions for the function (I) List all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. f (x) =- 72 - 1 vertical asymptotes x = defined on the interval [-20, 18]. (J) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below. Enter points, such as inflection points in ascending order, i.e. Graph Complete: smallest x values first. Answer(s) submitted: Enter intervals in ascending order also. A. The function f(x) has vertical asympototes at - and
