Answer
vertical asymptotes $x=-2,4$, horizontal asymptote $y=0$
x-intercept=2, y-intercept=1/4
Domain {$x|x\ne-2,4$}, Range $(-\infty,\infty)$
Work Step by Step
$r(x)=\frac{x-2}{(x-4)(x+2)}$
vertical asymptotes $x=-2,4$, horizontal asymptote $y=0$
x-intercept=2, y-intercept=1/4
Domain {$x|x\ne-2,4$}, Range $(-\infty,\infty)$