(3) Let r(x) = 2x2 Sketch the graphs of the functions in the same xy-plane in the following steps. x²-9 (a) Find the domain and intercepts (b) Find the horizontal and vertical asymptote (c) analyze the asymptotic behavior of the graph around each of the vertical asymptotes (d) Find the function values when x = -6, -5, -4, -2, -1, 1, 2,4, 5, 6, (e) Sketch the graph of y = r(x) indicating all the information in (a)-(d). %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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(3) Let r(x)
2x2
Sketch the graphs of the functions in the same xy-plane in the following steps.
%3D
x2-9
(a) Find the domain and intercepts
(b) Find the horizontal and vertical asymptote
(c) analyze the asymptotic behavior of the graph around each of the vertical asymptotes
(d) Find the function values when x = -6, -5, -4, -2, -1, 1, 2, 4 , 5, 6,
(e) Sketch the graph of y = r(x) indicating all the information in (a)-(d).
Transcribed Image Text:(3) Let r(x) 2x2 Sketch the graphs of the functions in the same xy-plane in the following steps. %3D x2-9 (a) Find the domain and intercepts (b) Find the horizontal and vertical asymptote (c) analyze the asymptotic behavior of the graph around each of the vertical asymptotes (d) Find the function values when x = -6, -5, -4, -2, -1, 1, 2, 4 , 5, 6, (e) Sketch the graph of y = r(x) indicating all the information in (a)-(d).
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