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Math Help - graph rational functions

  1. #1
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    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.
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  2. #2
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    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)}
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  3. #3
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    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.
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  4. #4
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    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
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