# How do you find the Vertical, Horizontal, and Oblique Asymptote given #y = (2x+4)/( x^2-3x-4)#?

##### 1 Answer

Jun 28, 2016

so we have vertical asymptotes at

for horizontal and slope asmptotes,

#### Explanation:

for vertical aympptotes, we look at when the demoninator is zero

so

to check for possible indeterminates we note that

and

so we have vertical asymptotes at

for horizontal and slope we look at the behaviour of the function as

so we re-write

as