Consider the function f$($x$)=$x$^2+3$x$+2/$x$^21.$ Which of the statements are true? $[$I$.]$ f has a vertical asymptote at x$=1.[$II$.]$ f has a horizontal asymptote at y$=0.[$III$.]$ f has a vertical asymptote at x$=1.[$IV$.]$ f has a horizontal asymptote at y$=1.$