Display Title
Definition--Functions and Relations Concepts--Domain of a Function
Display Title
Domain of a Function
Topic
Functions and Relations
Definition
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
Description
Understanding the domain of a function is crucial in mathematics because it defines the scope within which the function operates. The domain is often restricted by the nature of the function, such as avoiding division by zero or taking the square root of a negative number. For example, the domain of the function f(x)= 1/x is all real numbers except zero. In real-world applications, the domain can represent the set of conditions under which a model is valid, such as the acceptable input values for a sensor. Knowing the domain helps in analyzing and solving mathematical problems accurately.
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 | 2013 |
| Keywords | definition, function, relations, glossary terms |
