1. ## asymptotes

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

h(x) = x+4/x(x-2)
i got x=2

Find the slant asymptote, if any, of the graph of the rational function.

f(x) = x^2+16/x
i got y=x

h(x) = x^3+6/x^2-25
(this one I dont understand)

g(x) = x^3+7/x^2+8
(this one I dont understand)

Graph the function.

f(x) = x^3+4/x^2+5x
(this one I dont understand)

2. [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

Originally Posted by soly_sol
h(x) = x+4/x(x-2)
i got x=2
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

Originally Posted by soly_sol
h(x) = x^3+6/x^2-25
(this one I dont understand)

g(x) = x^3+7/x^2+8
(this one I dont understand)
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.
Originally Posted by soly_sol
Graph the function.

f(x) = x^3+4/x^2+5x
(this one I dont understand)

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