# How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)= (1)/(x^2-4)#?

##### 1 Answer

Jun 4, 2018

**Vertical asymptotes are at**

**Horizontal asymptote is** **slant asymptote is absent.**

#### Explanation:

The vertical asymptotes will occur at those values of

the denominator is equal to zero.

are at

The degree of numerator is

Since the larger degree occurs in the denominator, the

graph will have a horizontal asymptote as

```
If the numerator's degree is greater (by a margin of 1), then
```

we have a slant asymptote . So here slant asymptote is absent.

graph{1/(x^2-4) [-11.25, 11.25, -5.625, 5.625]} [Ans]