Define Range In Math Function

Illustrated definition of range of a function.

Define range in math function.

The domain of a function is the complete set of possible values of the independent variable. The range of a simple linear function is almost always going to be all real numbers. The set of all output values of a function. A graph of a typical line such as the one shown below will extend.

The example below shows two different ways that a function can be represented. These won t be terribly useful or interesting functions and relations but your text wants you to get the idea of what the domain and range of a function are. The range is the difference between the lowest and highest numbers in a data set. By definition the range is the set of all the outputs of a function so to find the range we simply list the outputs 6 4 2 0 2 4 6.

Essentially the range tells us how spread. In plain english this definition means. The domain and range of a function is all the possible values of the independent variable x for which y is defined. When functions are first introduced you will probably have some simplistic functions and relations to deal with usually being just sets of points.

In 4 6 9 3 7 the lowest value is 3 and the highest is 9 so the range is 9 3 6. Range can also mean all the output values of a function. The range is the set of all possible output values commonly the variable y or sometimes expressed as f x which result from using a particular function. The domain is the set of all possible x values which will make the function work and will output real y values.

Essentially the range tells us how spread apart a group of numbers is. As a function table and as a set of coordinates. Domain rarr function rarr range example.