Question 1042259: Find the vertical asymptote,horizontal asymptote,x-intercept,and y-intercept.
t(x)=(3x^3-x) / x^3-1
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the vertical asymptote,horizontal asymptote,x-intercept,and y-intercept.
t(x)=(3x^3-x) / x^3-1
Vertical:: x = 1
Horizontal:: y = 3x^3/x^3 = 3
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x-int::
Let y = 0; solve for "x":
3x^3-x = 0
x(3x^2-1) = 0
x = 0, x = 1/sqrt(3)
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y-int::
Let x = 0
Then y = 0/-1 = 0
Ans: (0,0)
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Cheers,
Stan H.
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