Answer
common factor $(x+2)$
x-intercept=$0,5$, y-intercept=$0$,
no asymptotes,
Domain {$x|x\ne-2$}, Range $[-6.25,\infty)$
Work Step by Step
$r(x)=\frac{x(x^2-3x-10)}{x+2}=\frac{x(x-5)(x+2)}{x+2}$
common factor $(x+2)$
x-intercept=$0,5$, y-intercept=$0$,
no asymptotes,
Domain {$x|x\ne-2$}, Range $[-6.25,\infty)$