SOLUTION: I would really really appreciate any help I could get with the following. R(x)=x^3-1/x^2-x-2 I know how to factor it, but need help with stating the domain and making a graph wit

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: I would really really appreciate any help I could get with the following. R(x)=x^3-1/x^2-x-2 I know how to factor it, but need help with stating the domain and making a graph wit      Log On

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Question 191335: I would really really appreciate any help I could get with the following.
R(x)=x^3-1/x^2-x-2
I know how to factor it, but need help with stating the domain and making a graph with labeled intercepts and asymtotes. Please help. Thanks.
Answer by stanbon(48564) About Me  (Show Source):
You can put this solution on YOUR website!
R(x)=x^3-1/x^2-x-2
I know how to factor it, but need help with stating the domain and making a graph with labeled intercepts and asymtotes
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R(x) = [(x-1)(x^2+x+1)]/[(x-2)(x+1)]
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Domain: all Real Numbers except x = 2 and x = -1
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x-intercept: Let y=0 then x = 1
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y-intercept: Let x = 0 then y = -1/-2 = 1/2
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Vertical asymptotes: x = -1 and at x = 2
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Horizontal asymptote: y = x^3/0x^3 = 1/0; So no horizontal asymptote.
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Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%5E3-1%29%2F%28x%5E2-x-2%29%29
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Cheers,
Stan H.