Question 1084209
horizontal asymptote is at x=1, because x^2/x^2 is the function at large values of x.
vertical asymptotes at +2 and -2, because that is where the denominator equals 0.
(x+4)(x-3)/(x+2)(x-2) is factored form.
No holes.
Roots are at x=-4 and x=3, because the numerator is 0 AND the denominator is not 0.
{{{graph(300,300,-10,10,-10,10,(x^2+x-12)/(x^2-4))}}}