# How do you identify all asymptotes or holes for #f(x)=(2x)/(x^2-1)#?

##### 1 Answer

Sep 26, 2016

VA: 1,-1

HA: 0

SA: N/A

#### Explanation:

Vertical asymptote: Set denominator = 0 but factor first

Horizontal asymptote: When the x with the biggest power in the numerator is less than the x with the biggest power in the numerator, the horizontal asymptote is

Since a horizontal asymptote exists, then a slanted asymptote does not exist. It would only exist if the x with the biggest power in the numerator is biggest than the x with the biggest power in the denominator.