[quote=soly_sol;80225]Find the vertical asymptotes, if any, of the graph of the rational function.g(x) = x/x^2-36

i got x=6, x=-6

also, x=0 is a vertical asymptote

Find the slant asymptote, if any, of the graph of the rational function.f(x) = x^2+16/x

i got y=x

try to perform the division using synthetic division.

you will get something like y=mx+b +r(x)

that mx+b is your slant asymptote.

so, for h(x), your asymptote is y=x.

just look for the asymptotes, look for the zeros, then the limits as x approaches the asymptotes, and approaches infinity (positve, negative)