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16 uppose that (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 decreasing. Note: Use 'INF' for oo, '-INF' for-oo, and use 'U' for the union symbol. Decreasing: = 7x x² - 16 (C)List the x-values of all local maxima of f. If there are no local maxima, enter 'NONE'. a values of local maxima =

16 uppose that (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 decreasing. Note: Use 'INF' for oo, '-INF' for-oo, and use 'U' for the union symbol. Decreasing: = 7x x² - 16 (C)List the x-values of all local maxima of f. If there are no local maxima, enter 'NONE'. a values of local maxima =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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16 Suppose that (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 decreasing. Note: Use 'INF' for ∞o, '-INF' for -∞, 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'. a values of local maxima = f(x) = (D) List the x-values of all local minima of f. If there are no local minima, enter 'NONE'. a values of local minima = (F) Use interval notation to indicate where f(x) is concave up. Concave up: (E) List the values of all inflection points of f. If there are no inflection points, enter 'NONE'. Inflection points = (G) Use interval notation to indicate where f(x) is concave down. Concave down: 7x x² - 16 (1) List all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. vertical asymptotes x = (H) List all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = (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:
Transcribed Image Text:16 Suppose that (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 decreasing. Note: Use 'INF' for ∞o, '-INF' for -∞, 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'. a values of local maxima = f(x) = (D) List the x-values of all local minima of f. If there are no local minima, enter 'NONE'. a values of local minima = (F) Use interval notation to indicate where f(x) is concave up. Concave up: (E) List the values of all inflection points of f. If there are no inflection points, enter 'NONE'. Inflection points = (G) Use interval notation to indicate where f(x) is concave down. Concave down: 7x x² - 16 (1) List all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. vertical asymptotes x = (H) List all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = (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:
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