Math

Piecewise functions.

Definition

A function defined by different formulas for different intervals of the domain. Each piece applies only to its specified interval, and the pieces together cover the entire domain.

Examples

Real-world.

  • 1 Absolute value: f(x) = x if x ≥ 0, f(x) = -x if x < 0
  • 2 Cell phone plans that charge one rate up to a limit, then a different rate after
  • 3 Tax brackets where different income ranges are taxed at different rates
Studied in

1 unit use this concept.