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

##### 1 Answer

Jan 18, 2017

The vertical asymptote is

The slant asymptote is

No holes and no horizontal asymptote.

#### Explanation:

The domain of

As we cannot divide by

The vertical asymptote is

We can rewrite

Therefore,

The slant asymptote is

graph{(y-(x^2-2)/x)(y-x)=0 [-11.25, 11.25, -5.625, 5.62]}