SOLUTION: how do you identify asymptotes?

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Question 635571: how do you identify asymptotes?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Veritcal asymptotes are where the denominator of a fraction becomes 0 and
the value of f%28x%29 becomes undefined. Set the denominator to
0 and solve.

Horizontal asymptotes are values of f%28x%29 when xinfinity
and x-infinity
here is example:
f%28x%29=3x%5E2+%2F+%28x%5E2%2B1%29
Vertical asymptote:
Set +%28x%5E2%2B1%29=0 and solve for x.
+x%5E2=-1 has+no real solution, so there is no vertical+asymptote.
Horizontal:
Divide all terms by the highest power of x to eliminate unimportant values
dividing by x%5E2, you get 3+%2F+%281+%2B+%281%2Fx%5E2%29%29
As xinfinity then 1%2Fx%5E20 (it vanishes),
leaving 3%2F1=3, so there is a horizontal asymptote at y=3