SOLUTION: Find the vertical asymptote,horizontal asymptote,x-intercept,and y-intercept. t(x)=(3x^3-x) / x^3-1

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
------------
x-int::
Let y = 0; solve for "x":
3x^3-x = 0
x(3x^2-1) = 0
x = 0, x = 1/sqrt(3)
-----------------
y-int::
Let x = 0
Then y = 0/-1 = 0
Ans: (0,0)
-------------
Cheers,
Stan H.
RELATED QUESTIONS
Let f(x)= x^2 � 4x �5 / 3x^2 + 2 1. Find the domain. 2.Determine the... (answered by stanbon)

1. f(x)= x^+3x-4 divide over x^+5x-6 find va vertical asymptote ha horizontal... (answered by longjonsilver)

Find an equation of a rational function f that satisfies the conditions: vertical... (answered by stanbon)

what is the vertical asymptote, horizontal asymptote, x-intercept, y-intercept, domain... (answered by lwsshak3)

Write a rational function that has the following attributes: Vertical asymptote: x=-1,... (answered by mouk)

Need Clarity on this please.Thanks Given r(x)=3(x-1)^2/x^3-8x^2+7x Find the range of... (answered by lwsshak3)

Find the equation of a rational function. Vertical Asymptote at x= -6 Horizontal... (answered by greenestamps)

Need Clarity on this please.Thanks Given r(x)=5x+2/x-1 Find the range of r(x),y... (answered by fcabanski)

5. Determine the behavior of {{{f(x)=(2x^3-4x^2-16x)/(x^3-4x)}}} Domain : x �... (answered by jim_thompson5910)