# How do you tell if it's a vertical asymptote function or a horizontal asymptote function?

##### 2 Answers

See explanation

#### Explanation:

To see if a function has vertical asymptote you have to find values of

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

To find if a function has horizontal (or oblique) asymptotes you have to calculate limits:

If both limits are finite, then function

For example function

graph{(y-x-1/x)(y-x)=0 [-10, 10, -5, 5]}

See the explanation.

#### Explanation:

**Vertical**

Roughly: A vertical asymptote occurs if

**Horizontal**

Roughly: A horizontal asymptote occurs if