Asymptotes of rational functions | Polynomial and rational functions | Algebra II | Khan Academy

Asymptotes of Rational Functions

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a = never
sy = with
mptote = falling
these Greek words make perfect sense, if you know Greek that is.

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[MrDanTheMathMan]

Think of it this way: add in the term of the same degree to the numerator with a coefficient of 0. So for example, (x+1) / (x^2) would become (0x^2 + x + 1) / (x^2). Horizontal asymptote is the coefficients of the highest degree terms, (numerator / denominator). 0 divided by any # is 0. So in the example, (0x^2) / (x^2) is 0/1 which is 0. So the horizontal asymptote is y=0.

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