College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 98E
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Question
Graph the rational functions . Include the graphs and equations of the asymptotes.
1.y=x2/(x-1)
2. y=(x2-1)/x
Expert Solution
Step 1
Given that the rational function,
To calculate the equation of asymptotic.
For a rational function, the vertical asymptotes are the undefined points or the zeros of the denominator of the function.
To calculate the horizontal asymptotes of
In horizontal asymptotes,
If degree of numerator=1+degree of denominator, then the asymptotes is a slant asymptotes of the form
Degree of numerator=2 and degree of denominator=1
2=1+1
So the horizontal asymptotes is:
The graph of the rational function is
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