Suppose that f(x) = 5x6 - 7x5. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = 0, (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for -∞, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = NONE (E) Find the x-coordinates of all local minima of f. Note: If there are no local minima, enter 'NONE'. x values of local minima = 6 (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: 14 15 (H) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points =
Suppose that f(x) = 5x6 - 7x5. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = 0, (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for -∞, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. x values of local maxima = NONE (E) Find the x-coordinates of all local minima of f. Note: If there are no local minima, enter 'NONE'. x values of local minima = 6 (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: 14 15 (H) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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