An asymptote is a line a curve gets arbitrarily close to but never touches.
Three types
- Vertical: where the function blows up (e.g. x = 0 for 1/x).
- Horizontal: what y approaches as x → ±∞.
- Slant (oblique): a slanted line approached at infinity.
An asymptote is a line a curve gets arbitrarily close to but never touches.