Question

What are asymptotes?

Answer 1

In Mathematics an asymtote is considered to be a tangent (i.e. line) to a curve/conic,when the given curve/conic tends to meet( or touch) the line (asymtote) imaginarily at infinity.

Answer 2

Can you explain more?

Answer 3

@SneliS

Answer 4

Here is almost a different way: In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors. In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity.

Answer 5

so what does it mean if say, something had an asymptote of x=4 and y=5?

Answer 6

It means that you will have a curved line that does something like this: Your solution could be something similar to that drawing, I believe