====== Asymptote Rule for Rational Functions ======
To check if a rational function has a horizontal or slant asymptote, it's needed to look at the degrees of the numerator (j) and denominator (k). **IF**

===== j > k =====
There is a slant asymptote! Divide the numerator and denominator using [[math:polynomial_division|Polynomial Division]]. The remainder is the slant asymptote.

===== j == k =====
There is a horizontal asymptote! Its equation is $y = \frac{a_j}{a_k}$, or the numerator's leading coefficient divided by the denominator's.

===== j < k =====
There will always be the horizontal asymptote $y = 0$.