# How do you find the asymptotes of #y=|x-1|/|x-2|#?

##### 1 Answer

Mar 30, 2018

#### Explanation:

By definition of absolute value:

So these are both

This is undefined for

**is a vertical asymptote.**

We now check end behaviour:

For limits to infinity we only need be concerned with the highest powers of

as

as

So the line:

**is a horizontal asymptote**

GRAPH: