Definition--Functions and Relations Concepts--Piecewise Functions
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Algebra >> Functions and Relations >> Special Functions

Definition--Functions and Relations Concepts--Piecewise Functions

Piecewise Functions

Piecewise Functions Image

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