# Math Help - graph rational functions

1. ## graph rational functions

ok so i am stuck on this problem and i can't figure it out. Can anyone explain this ? and walk through it ? Thanks !!

Sketch the graph of function Q(x) = x^3 - 1 / x^3 + 1. Determine the prime
factorization of Q(x) and graph the polynomial function.

So far, I have the horizontal asymptote y = 1 and vertical x = -1.

2. Did you factor by using the sum and difference of two cubes?.

$\frac{x^{3}-1}{x^{3}+1}=\frac{(x-1)(x^{2}+x+1)}{(x+1)(x^{2}-x+1)}$

3. yes i did that just now, so how should i graph that ?.I think i should use -b+- sqe b^2-4ac formula to get values for them.

4. i am having hard time with these problems for example (2x-1)(x+2)/(3x+1)(x-3) like i can find x and y values, asmptotes but i get hard time with graphing them