In: Advanced Math
Determine the x- and y-intercepts (if any), and vertical and horizontal a symptotes of the rational function r, given by
r(x) =3x^2+ 18x+ 24 / x^2−3x+ 2
and then use this information to sketch a graph ofr. As part of your analysis, you should explicitly examine the behaviour of the function on both sides of each vertical asymptote, and evaluate the function at appropriate test points.