Display Title

Definition--Functions and Relations Concepts--Constant Function

Constant Function

Constant Function Image

Topic

Functions and Relations

Definition

A constant function is a function that always returns the same value, no matter the input.

Description

The constant function is one of the simplest types of functions in mathematics, expressed as 

f(x) = c

where c is a constant. This function is significant because it represents scenarios where a quantity remains unchanged regardless of other variables. In real-world applications, constant functions can model fixed costs in economics or steady states in physics. For example, if a company has a fixed production cost of $500, regardless of the number of units produced, this can be represented by a constant function. Understanding constant functions is essential for grasping more complex functions and for modeling real-world situations where certain variables remain unchanged.

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 2021
Keywords definition, function, relations, glossary terms