Question 1019898
f(x)=(x^2-1)/(x-3)
Domain:  all x except for x=3.
Vertical asymptote at x=3.
horizontal asymptote: None
Slant asymptote: divide x-3/x^2-1
----------------------------x
-----------------------------x^2-3x, change signs
------------------------------3x+1
------------------------------x goes into that 3 times with remainder.  The line for the slant asymptote is y=x+3.
{{{graph(300,200,-10,10,-10,30,(x^2-1)/(x-3),x+3)}}}