When a graph doesn't settle into a horizontal line but instead follows a diagonal path as it goes to infinity, it has an oblique asymptote.
Imagine you are walking halfway toward a wall, then halfway again, and again. Mathematically, you are getting infinitely close to the wall, but you never actually become part of it. That wall is your asymptote. In a coordinate plane, as the input ( ) or output (
An asymptote is essentially a trend line for the "infinite" parts of a graph. While the curve may never reach the line, the line provides the essential shape and limit for the function's behavior.
They represent terminal velocity or limits in a system.
