Dec 11, 2025 · A function represents a relationship between a set of inputs (domain) and their corresponding outputs (range), where each input has exactly one output. Domain: The set of …

In mathematical terms, given a function f (x), the values that f (x) can take on constitute the range of the function, while all the possible x values constitute the domain.

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and the range is the possible output given by the function.

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.

Simple explanation for domain and range. We learn the domain of a function is the set of possible x-values and the range is the resulting set of y-values.

All of the values that can go into a relation or function (input) are called the domain. All of the values that come out of a relation or function (output) are called the range.

Let's state the domains and ranges of the Toolkit functions. A piecewise function is a function in which more than one formula is used to define the output. Each formula has its own domain, …

What are the domain and range of a set? Given a set of ordered pairs (x, y), the domain is the set of all the x -values, and the range is the set of all the y -values.

A step by step tutorial, with detailed solutions, on how to find the domain and range of real valued functions is presented. First the definitions of these two concepts are presented.

University of Sydney 1 Functions In these notes we will cover various aspects of functions. We will look at the definition of a function, the domain and range of a function, and what we mean by …