Select all of the following that are true for the function [math]f\left(x\right)=\frac{2x\left(x+2\right)\left(x-2\right)}{\left(x+1\right)\left(x-2\right)}[/math].[br]
Plot a function [math]f[/math] below with all of the following properties:[br][list][*][math]\lim_{x\to\pm\infty}f\left(x\right)=\infty[/math][br][/*][*][math]f[/math] has zeros at [math]x=\pm2[/math] only[/*][*][math]\lim_{x\to0}f\left(x\right)=0[/math][br][/*][*][math]\lim_{x\to-1^-}f\left(x\right)=-\infty[/math][br][/*][*][math]\lim_{x\to-1^+}f\left(x\right)=\infty[/math][br][/*][*][math]f[/math] is asymptotic to the parabola [math]x^2-x-3[/math].[/*][/list]