# What are the asymptotes for #1/x#?

##### 1 Answer

Have a look:

#### Explanation:

Here, for your function

1) Vertical:

This is obtained looking at the point(s) of discontinuity of your function. These are problematic points where, basically, you cannot evaluate your function. In your case the point of coordinate

So the vertical line of equation

2) Horizontal.

This is a little bit more tricky...

You need to find a horizontal line towards which your function tends to get closer and closer.

One way to find this is to "see" what happens when

You can see that, for

Basically, the

You can see these two asymptote graphically as the two lines near which the curve (representing your function) tends to get near to:

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