3+ -3+ 5 Graph of r (A) (i) Write the equation of the line that is the vertical asymptote of r. (ii) Write the equation of the line that is the horizontal asymptote of r. (B) (i) Determine the end behavior of r as x increases without bound. Express your answer using the mathematical notation of a limit. (ii) Evaluate the following limits: limr(x)= 1-2 (C) (i) Find all intervals for which r(x)≤0. limr(x)= (ii) Write a possible equation in factored form for the rational function r(x).

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.6: More On Graphing Rational Functions
Problem 28PS
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3+
-3+
5
Graph of r
(A) (i) Write the equation of the line that is the vertical asymptote of r.
(ii) Write the equation of the line that is the horizontal asymptote of r.
(B) (i) Determine the end behavior of r as x increases without bound. Express your answer using the mathematical
notation of a limit.
(ii) Evaluate the following limits: limr(x)=
1-2
(C) (i) Find all intervals for which r(x)≤0.
limr(x)=
(ii) Write a possible equation in factored form for the rational function r(x).
Transcribed Image Text:3+ -3+ 5 Graph of r (A) (i) Write the equation of the line that is the vertical asymptote of r. (ii) Write the equation of the line that is the horizontal asymptote of r. (B) (i) Determine the end behavior of r as x increases without bound. Express your answer using the mathematical notation of a limit. (ii) Evaluate the following limits: limr(x)= 1-2 (C) (i) Find all intervals for which r(x)≤0. limr(x)= (ii) Write a possible equation in factored form for the rational function r(x).
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