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

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(75887) (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
----------------------------------------------------
R(x) = [(x-1)(x^2+x+1)]/[(x-2)(x+1)]
----------------------------------------------
Domain: all Real Numbers except x = 2 and x = -1
-------------------
x-intercept: Let y=0 then x = 1
-----------------------
y-intercept: Let x = 0 then y = -1/-2 = 1/2
------------------------
Vertical asymptotes: x = -1 and at x = 2
------------------
Horizontal asymptote: y = x^3/0x^3 = 1/0; So no horizontal asymptote.
-----------------------------
Graph:

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Cheers,
Stan H.
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