Domain and Range

Start with the ideas

Domain and range describe the inputs and outputs of a function. The mind map on function characteristics introduces x as the independent variable, y as the dependent variable and the domain as the set of input values. The notes on function concepts also describe domain in terms of x values and range in terms of the resulting y values.

Start with one of these resources to get familiar with the terms. Then use the Functions flashcards to think through questions about domain, range and where a function is undefined.

Move from definitions to graphs

The Domain and range flashcards ask whether domain and range relate to x or y, and how to identify them on discrete and continuous graphs. Another flashcard deck asks you to decide whether each graph is a function, whether it is continuous or discrete, and what its domain and range are. Its answers are on the backs of the cards.

The mind map on domain and range and the vertical line test offers another way to organize these ideas. It includes examples of domains and ranges alongside distinctions between relations and functions.

Use a quiz and a map together

After studying a map or flashcard deck, try Domain & Range of a Function. It includes a question about describing the range of a function and a reminder to find the domain first. Return to a map to review the relationship between inputs and outputs, then work through the questions again.

The page also lists Domain of a Function and Graphs of Functions for further practice. These resources connect Domain and Range to the wider Functions and Graphs unit in Mathematics. Choose a map and a quiz to use together.