Question

What is a asymptote?

Answer 1

See below

Explanation:

An asymptote is a line that continually approaches a given curve but does not meet it at any finite distance.

For example, for the rational function
`f(x)=(1)/(x)`, there's a horizontal asymptote at y=0 because as x approaches infinity, y gets increasingly closer to 0.

Same goes for the vertical asymptote of x=0 where as y approaches infinity, x gets increasingly closer to 0.

Answer 2

It is a line that continually approaches a given curve but does not meet it at any finite distance.

Explanation: