# Range of a Function

## Topic

Functions and Relations

## Definition

The range of a function is the set of all possible output values (y-values) that the function can produce.

## Description

Understanding the range of a function is crucial in mathematics because it defines the scope of possible outputs. The range is determined by the function's rule and the domain. For example, the range of the function

f(x) = x2

is all non-negative real numbers. In real-world applications, the range can represent the possible outcomes of a model, such as the maximum and minimum temperatures predicted by a weather model. Knowing the range helps in analyzing and solving mathematical problems accurately and in understanding the limitations and possibilities of mathematical models.

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 6 - 9 Algebra     • Functions and Relations         • Relations and Functions 2013 definition, function, relations, glossary terms