# How do you identify all asymptotes or holes and intercepts for #f(x)=(x^2-2x)/(x^3+1)#?

##### 1 Answer

Oct 24, 2016

The vertical asymptote is

The intercepts with the x axis are

#### Explanation:

As we cannot divide by

So x=-1 is a vertical asymptote

To see the intercept with the x axis,

so

The points are

We can find the limits at

limit f(x) =

limit f(x) =