Let f(x)=(x-3)/(x2-1). Please don't use any technology for these. a) What can you say about the long-term behavior of f? Does the graph of y = f(x) have any horizontal asymptotes? b) What can you say about the domain of f? Does the graph of y = f(x) have any vertical asymptotes? c) Sketch the graph of f.

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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Let f(x)=(x-3)/(x2-1). Please don't use any technology for these.

a) What can you say about the long-term behavior of f? Does the graph of y = f(x) have any horizontal asymptotes?

b) What can you say about the domain of f? Does the graph of y = f(x) have any vertical asymptotes?

c) Sketch the graph of f.

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