Domain, Range, and Functions

Step into the world of relationships and rules with Domain, Range, and Functions! This activity helps you understand how every function connects inputs (domain) to outputs (range) — the heart of algebra and real-world math. You’ll learn how to find, describe, and represent these sets, and see how they form the foundation of every equation and graph.

You’ll start by identifying the domain, which represents all possible input values (the x-values), and the range, which represents all possible output values (the y-values). You’ll then explore how each x connects to one y in a function — the golden rule that makes a relationship a true function! Each example will help you visualize how inputs move through a “rule” to produce outputs.

You’ll work through tables, mappings, equations, and graphs to find the domain and range in each form. For example, you might look at a graph and identify how far it extends on the x-axis (domain) and y-axis (range). Or, you’ll read a table and decide whether any input has more than one output — helping you determine if it’s a function or not.