Question

what is asymptotes?

Answer 1

things to snuggle up to but never touch

Answer 2

their on the graphs
their lines to which the figure in the graph will not pass

Answer 3

dont they touch at infinity?

Answer 4

its possible yes but not very often

Answer 5

vertical asymptotes cant cross; others are a measure of end behaviour that can cross in the middle

Answer 6

Asymptotes are actually tangents to a curve at infinity. But since infinity is not a well-defined number, we say that the asymptotes get closer and closer to the curve, but never actually touch the curve.
A closed figure like circle/ellipse will have no asymptotes.
Do you know the P-V graph of boyle's law?

The x and y axes are asymptotes to the curve. Notice that the curve gets closer and closer to the x and y axes with increasing x and y values