# Math Help - asymptote

1. ## asymptote

y=1 is an asymptote of y2 = x(x-1)2 ? State true or false ? Give reason.

2. Originally Posted by puneet
y=1 is an asymptote of y2 = x(x-1)2 ? State true or false ? Give reason.
Do you mean $y^2 = x(x-1)^2$?

3. ## asymptote

Yes, I mean ?

4. Originally Posted by puneet
Yes, I mean ?
Do you know what a horizontal asymptote is ....? It's the horizontal line y = a that the the curve approaches as x --> +oo and/or x --> -oo.

If y = 1 is a horizontal asymptote of the given curve, then y --> 1 as x --> +oo and/or x --> -oo ..... Does that happen?

5. ## asymptote

Highest power of x and also y is independent(i.e.=1) .Therefore no asymptotes occur. Is that right.

As y-->1 then take x-->-+infinity then agian x-->1.