Display Title
Definition--Functions and Relations Concepts--Piecewise Functions
Display Title
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 |
|---|---|
| Grade Range | 6 - 9 |
| Curriculum Nodes |
Algebra • Functions and Relations • Special Functions |
| Copyright Year | 2021 |
| Keywords | definition, function, relations, glossary terms, piecewise functions |
