# Piecewise Functions

## Topic

Functions and Relations

## Definition

Piecewise functions are functions defined by multiple sub-functions, each applying to a certain interval of the domain.

## Description

Piecewise functions are important in mathematics because they allow for the representation of functions that have different behaviors in different intervals. They are written as a set of sub-functions, each with its own domain. Piecewise functions are used in various fields, including economics to model tax brackets and in engineering to describe systems with different operating conditions. For example, a piecewise function might represent a shipping cost that changes based on the weight of the package. Understanding piecewise functions is essential for analyzing and modeling complex scenarios where different rules apply to different intervals.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4 6 - 9 Algebra     • Functions and Relations         • Special Functions 2021 definition, function, relations, glossary terms, piecewise functions