# How do you identify all asymptotes or holes for #f(x)=(-2x^2-6x-4)/(x^2+x)#?

##### 1 Answer

Feb 25, 2017

The vertical asymptote is

The horizontal asymptote is

There is a hole at

No slant asymptote

#### Explanation:

Let's factorise the denominator and the numerator

Therefore,

There is a hole at

As we cannot divide by

The vertical asymptote is

The degree of the numerator

The horizontal asymptote is

graph{(y+2(x+2)/(x))(y+2)=0 [-20.28, 20.27, -10.14, 10.14]}