# How do you graph #f(x)=1/x^2# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

There is a vertical asymptote at

There are no holes here.

There is an asymptote at

There are no

#### Explanation:

Let's go one by one. Here, I take the numerator as

Vertical asymptotes:

Vertical asymptotes are found when

There is a vertical asymptote at

Holes:

There are no holes here. Holes are found only if you can simplify

Horizontal asymptotes:

There are a few rules to remember when finding a horizontal asymptote:

We must look at the degree of

Here,

Intercepts:

The

So:

This is impossible, as

The

So:

However, the above is undefined.

So there are no

The graph looks like so:

graph{1/x^2 [-10, 10, -3, 7]}