How do you find the asymptotes of a rational function?
Answer 1
David Turner
To find the asymptotes of a rational function, identify vertical asymptotes by setting the denominator equal to zero and solving for x. Horizontal asymptotes depend on the degrees of the numerator and denominator: if degrees are equal, divide leading coefficients; if numerator’s degree is lower, y=0; if higher, no horizontal asymptote. Oblique asymptotes occur if the numerator’s degree is one higher than the denominator’s, found by polynomial division.
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