# Rational function

The rational function ${\displaystyle y={\frac {x^{2}-3x-2}{x^{2}-4}}}$. The dotted lines are the asymptotes.
The curve gets closer and closer to touching the asymptote (the red line) but never does.

A rational function is a polynomial divided by a polynomial. f(x) = x/x − 3 is a rational function.[1]

An asymptote is a line that a curve gets closer and closer to touching but never does.

## References

1. "Rational Functions". dl.uncw.edu. Retrieved March 8, 2018.