# How do you find the Vertical, Horizontal, and Oblique Asymptote given #y = (8 x^2 + x - 2)/(x^2 + x - 72)#?

##### 1 Answer

Nov 28, 2016

The vertical asymptotes are

No oblique asymptote

The horizontal asymptote is

#### Explanation:

Let's factorise the denominator

So,

The domain of

As we cannot divide by

The vertical asymptotes are

As the degree of the numerator is

To calculate the limits of

So, the horizontal asymptote is

graph{(y-(8x^2+x-2)/(x^2+x-72))(y-8)=0 [-58.5, 58.55, -29.3, 29.23]}