Definition--Functions and Relations Concepts--Function
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Algebra >> Functions and Relations >> Relations and Functions

Definition--Functions and Relations Concepts--Function

Function

Function Image

Topic

Functions and Relations

Definition

A function is a relation that uniquely associates each element of a set with exactly one element of another set.

Description

Functions are fundamental in mathematics because they describe relationships between variables. A function is typically written as f(x), where x is the input and f(x) is the output. Functions are used in various fields, including science, engineering, and economics, to model relationships and predict outcomes. For example, the function f(x) = 2x + 3 describes a linear relationship between x and f(x). Understanding functions is essential for analyzing data, solving equations, and applying mathematical models to real-world scenarios.

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
        • Relations and Functions
Copyright Year 2014
Keywords definition, function, relations, glossary terms