SOLUTION: Find the equations for the horizontal and vertical asypmtotes of each function: a.) {{{y=1/(x-1)}}} b.) {{{y=x/(sqrt(x^2-9))}}} c.) {{{y=x^3/(x^3-1)}}}

Algebra ->  Coordinate-system -> SOLUTION: Find the equations for the horizontal and vertical asypmtotes of each function: a.) {{{y=1/(x-1)}}} b.) {{{y=x/(sqrt(x^2-9))}}} c.) {{{y=x^3/(x^3-1)}}}      Log On


   

Question 47827: Find the equations for the horizontal and vertical asypmtotes of each function:
a.) y=1%2F%28x-1%29
b.) y=x%2F%28sqrt%28x%5E2-9%29%29
c.) y=x%5E3%2F%28x%5E3-1%29
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equations for the horizontal and vertical asypmtotes of each function:
a.) y=1/(x-1).........D.R=0 WHEN X-1=0..AND... X=1 IS THE ASYMPTOTE
b.) y=x/(sqrt(x^2-9))...D.R=0 WHEN X^2=9...OR...X=3..AND..X=-3 ARE THE 2 ASYMPTOTES.
FURTHER AS X TENDS TO ZERO Y TENDS TO ZERO.....Y=0 IS ANOTHER ASYMPTOTE
c.) y=x^3/(x^3-1)...D.R=0 WHEN X^3-1=0...OR...X=1..IS THE ASYMPTOTE
FURTHER AS X TENDS TO ZERO Y TENDS TO ZERO....Y=0 IS ANOTHER ASYMPTOTE.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1%2F%28x-1%29%2C1000000%2A%28x-1%29%29+