Question 47827
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( 600, 600, -10, 10, -10, 10, 1/(x-1),1000000*(x-1)) }}}
{{{ graph( 600, 600, -10, 10, -10, 10, x/(x^2-9)^0.5,-x/(x^2-9)^0.5,0,1000000*(x-3),1000000*(x+3) ) }}}
{{{ graph( 600, 600, -10, 10, -10, 10,x^3/(x^3-1),0,1000000*(x-1)) }}}