# How do you find the vertical, horizontal or slant asymptotes for #x / (x^2 -1)#?

##### 1 Answer

Below

#### Explanation:

Vertical Asymptotes

The denominator cannot equal to

Horizontal Asymptotes

When you sub different values into

Hint:

If the degree of the numerator is LESS THAN the denominator, then the asymptote is

If the degree of the numerator is EQUAL to the denominator, then the asymptote is the ratio of the leading coefficients

If the degree of the numerator is GREATER THAN the denominator, then you need to use synthetic division to find what the OBLIQUE asymptote is.

Below is what the graph

graph{x/(x^2-1) [-10, 10, -5, 5]}