Piecewise functions

Math

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

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

Related Terms

Domain and range Function notation Continuity Graphing inequalities

Study This Concept

Practice piecewise functions with free review games in these units:

Pre-Calculus Unit 1: Functions and Their Graphs