The domain of a function is the set of all inputs it accepts, and the range is the set of all outputs it produces. Restrictions on the domain usually come from division by zero or square roots of negatives.
Math Dictionary / Domain and Range
Domain and Range
The domain is the set of possible inputs of a relation or function; the range is the set of possible outputs.
FunctionsGrade 8Algebra 1Algebra 2SATACT
What it means
Domain asks what x-values can go in. Range asks what y-values can come out.
Also called: inputs and outputs
Examples
| For points (1, 4), (2, 5), domain = {1, 2} |
| Range = {4, 5} |
| For y = x^2, the range is y >= 0 |
Common mistake
Do not swap them: domain goes with inputs, range goes with outputs.
Try one
Question: For points (2, 7), (3, 7), (5, 9), what is the domain?
Show answer
The domain is {2, 3, 5}.