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Suppose that f( ) = 23 - 9 (A) List all critical numbers of f. If there are no critical numbers, enter 'NONE. Critical numbers
Suppose that f( ) = 23 - 9 (A) List all critical numbers of f. If there are no critical numbers, enter 'NONE". Critical numbers = NONE (B) Use interval notation to indicate where f(x) is decreasing. Note: Use "INF' for co. '-INF' for -co, 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'. r values of local maxima = NONE (D) List the x-values of all local minima of f. If there are no local minima, enter 'NONE'. r values of local minima = NONE (E) List the a 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(z) is concave up. Concave up:(F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(2) 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 = =f(z) = 3x" - 325. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = (B) Use interval notation to indicate where f(r) 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) Find the z-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = NONE (E) Find the r-coordinates of all local minima of f. Note: If there are no local minima, enter 'NONE'. r values of local minima = (F) Use interval notation to indicate where f(z) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down.(G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) List the r values of all inflection points of f. If there are no inflection points, enter 'NONE'. r values of inflection points - (I) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = NONE (1) Find all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE', Vertical asymptotes = NONEf(x) = 9r' In(r), =>0. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. Ve (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. If there is no interval, enter 'NONE". Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the a values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. values of local maximums = NONE (E) List the a values of all local minima of f(x). If there are no local minima, enter 'NONE'. r values of local minimums = 0.606 (F) Use interval notation to indicate where f(r) 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 the inflection points of f. If there are no inflection points, enter 'NONE'. values of inflection points =Suppose that f(z) = (7 -6x)er. (A) List all the critical values of f(z). Note: If there are no critical values, enter 'NONE'. (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(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. r values of local maximums = al- (E) List the a values of all local minima of f(x). If there are no local minima, enter 'NONE'. r values of local minimums = NONE (F) Use interval notation to indicate where f(z) is concave up. Concave up: (G) Use interval notation to indicate where f(r) is concave down. Concave down:(G) Use interval notation to indicate where f(r) is concave down. Concave down: (H) List the r values of all the inflection points of f. If there are no inflection points, enter 'NONE'. values of inflection points = -0.833Suppose that it is given to you that f'(x) = (x + 6)(12 - =)(x - 15) Then the first local extremum (from the left) for f(x) occurs at r = The function f(x) has a local max ~ at this point. The second local extremum (from the left) for f(x) occurs at = = The function f(z) has a local min * at this point. The third local extremum (from the left) for f(x) occurs at a = The function f(x) has a local max ~ at this point. The first inflection point (from the left) for f(x) occurs at r = The second inflection point (from the left) for f(x) occurs at =
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