Range Definition

The range of a function is the set of all possible output values generated by the function for a given domain. It is a measure of how the output values of a function are distributed and can be used to analyze the behavior of the function and its applications in various contexts.

For example, consider the function with a domain of all real numbers. The range of this function is all non-negative real numbers because the output of the function will always be greater than or equal to for any input value of .

Function Definition

A function is a mathematical relationship between two sets, called the domain and the codomain, in which each element in the domain corresponds to exactly one element in the codomain.

Domain Definition

The domain of a function is the set of all possible input values for which the function is defined.