sorry for asking this again, i need to finish this by today so that i can submit this by tom..

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.

Thanks !

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- Mar 10th 2008, 10:07 PMwoooorational functions
sorry for asking this again, i need to finish this by today so that i can submit this by tom..

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.

Thanks ! - Mar 11th 2008, 01:19 AMmr fantastic
Key features:

.

y-intercept: Substitute x = 0 and solve for y.

x-intercept: Substitute y = 0 and solve for x. So solve .

Vertical asymptote: By inspection, x = -1.

Horizontal asymptote: By inspection, y = 1.

x-coordinates of stationary points: Solve Q'(x) = 0. So solve \frac{6x^2}{(x^3 + 1)^2}[/tex]. Test nature. Now get y-coordinates.

Now draw the shape that fits the above features.

**Edit:**And please DON'T double post.