Question

What is the graph of the rational function y=x^2-5x+6/x^2-1?

Answer 1

You have to draw the graph?

Answer 2

Yeah :/

Answer 3

You need to factor the equation first

Answer 4

(x-3)(x-2)/(x-1)(x+2)

Answer 5

Set y=0
(x-3)(x-2)/(x+1)(x-1) =0
x-3=0 x-2=0
x=3 x=2
Set x=0
(x-3)(x-2)/(x+1)(x-1)
(-3)(-2)/(1)(-1)
y=-6 is the intercept
Vertical asymptope what makes the denominator equal zero
(x+1)(x-1)=0
x=-1 x=1
Horizontal Asymtope think about the degree
x^2/x^2 both have a coeffcient of 1 1/1 =1