Question

(x^2+x-2) / (x^2-3x-4)

X and y intercepts?
Horizontal Asymptotes?
Vertical Asymptotes?

Answer 1

y = (x-1)(x+2) / [ (x-4)(x+1)]
when x = +1 , y = 0
when x = -2 , y = 0

when x = 0 , y = -2/-4 = 1/2

vertical when x = 4 or x = -1

= x^2/x^2 --> 1 when x is big positive or big negative

Answer 2

copy and paste:
this:

(x^2+x-2) / (x^2-3x-4)

here:

http://www.mathsisfun.com/data/function-grapher.php