Domain and rangeMixed, interval notation
Name: Date:
Write the domain and the range of each graph.
1Domain: Range:
2Domain: Range:
3Domain: Range:
4Domain: Range:
Domain and range in interval notation worksheets
Interval notation says the same thing as an inequality in fewer marks. These free printable worksheets read the domain and range off a graph and write them with brackets and parentheses, with an answer sheet.
If they get stuck
Domain and range in interval notation
The answer key prints on a separate page.
What's on this sheet
A square bracket means the end is included, and a parenthesis means it is not. So a segment from a filled dot at x = −1 to an open dot at x = 4 has the domain [−1, 4). The smaller number always goes first, because the interval is read from left to right along the number line.
Why this sheet works
Infinity always gets a parenthesis, since it is not a number the graph can reach. A range that starts at −3 and keeps going up is [−3, ∞), and all real numbers is (−∞, ∞). Students sometimes want to write a bracket next to infinity, and asking whether the graph ever gets there is usually enough to settle it.
How this one works
The exponential on the grid
Domain:(−∞, ∞)
Domain:(−∞, ∞)
Range:(−3, ∞)
- The domain is every x value the function uses. The curve keeps going left and right, so every x value has a point. Nothing limits the domain.
- The range is every y value it reaches. It gets closer and closer to the dashed line y = −3 and never touches it, and it stays above it. So y = −3 itself is left out, and the sign has no bar.