Given y = (2x^2-18)/(x^2-4) , find the (A) x-intercept(s) and y-intercept (if applicable) (B) use the first derivative x−4 Test to find the intervals on which the function is decreasing and/or increasing (C) Locate any relative extrema (both coordinates) (D) Use the second derivative to find the intervals in which the function is concave up and/or concave down (E) Find any points of inflection (both coordinates) (F) Find any vertical or horizontal asymptotes.
Given y = (2x^2-18)/(x^2-4) , find the (A) x-intercept(s) and y-intercept (if applicable) (B) use the first derivative x−4 Test to find the intervals on which the function is decreasing and/or increasing (C) Locate any relative extrema (both coordinates) (D) Use the second derivative to find the intervals in which the function is concave up and/or concave down (E) Find any points of inflection (both coordinates) (F) Find any vertical or horizontal asymptotes.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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Given y = (2x^2-18)/(x^2-4) , find the (A) x-intercept(s) and y-intercept (if applicable) (B) use the first derivative x−4 Test to find the intervals on which the function is decreasing and/or increasing (C) Locate any relative extrema (both coordinates) (D) Use the second derivative to find the intervals in which the function is concave up and/or concave down (E) Find any points of inflection (both coordinates) (F) Find any vertical or horizontal asymptotes. ALL WORK MUST BE DONE ALGEBRAICALLY
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