# How do you identify all asymptotes for #f(x)=(x^2-3x+2)/x#?

##### 1 Answer

Apr 15, 2018

See below.

#### Explanation:

Vertical asymptotes occur where the function is undefined, for:

This is undefined for **( division by zero )**

Vertical asymptote is the line:

Notice that the degree of the numerator is greater than the degree of the denominator. In this case there is an oblique asymptote. This will be a line of the form

Dividing by

So the oblique asymptote is the line:

The graph confirms these findings: