Display Title
Definition--Functions and Relations Concepts--Constant Function
Display Title
Constant Function
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 |
