The horizontal and vertical asymptotes of
The line is
Given:
The function
Concept Used:
If a polynomial function in the form
And,
The end behaviour asymptotes given by
The condition can be concluded as,
1) If
2) If
3) If
Calculation:
Consider the function,
The denominator is always greater than zero and there is no real roots.
Hence, no vertical asymptotes.
To find end behaviour asymptotes, compute,
So, rewrite
So,
Now, use
Thus,
Since, for,
That is,
Hence, end behaviour is horizontal asymptotes
Conclusion:
The line is
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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