{(−2, 1), (0, 3), (4, 1)}
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Domain {−2, 0, 4}; range {1, 3}.
Free printable worksheet
Domain and Range Worksheet
Fourteen problems finding domain and range from ordered pairs and common function families.
Algebra 1Grades 7-104 pagesAnswer key included
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What this worksheet includes
- Fourteen problems finding domain and range from ordered pairs and common function families.
- 4-page printable PDF with a complete answer key
- Designed for Grades 7-10 algebra 1 practice
- Available as an immediate free download with no email required
How to use it
Use this domain and range worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.
After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.
Ready to apply the skill in context? Continue with the domain and range word problems worksheet with answers.
Who this practice is for
This resource is designed for grades 7-10 students working on algebra 1. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.
Looking for a broader sequence? Browse all Algebra I worksheets.
Topic guide
How to approach domain and range
The domain is the set of allowed input values, and the range is the set of resulting output values. Restrictions often come from even roots, denominators, graph endpoints, or a finite list of ordered pairs.
State domain and range using the notation requested by the worksheet. For graphs, read horizontal coverage for domain and vertical coverage for range, paying attention to open and closed endpoints.
Learning objectives
- Find domain and range from ordered pairs
- Identify restrictions in common function rules
- Read interval coverage from graphs
Skills to review first
- Function inputs and outputs
- Inequality notation
- Coordinate-plane reading
Worked example
Follow the reasoning step by step
Find the domain and range of f(x) = √(x − 2).
- Require the radicand to be nonnegative: x − 2 ≥ 0.
- Solve to get x ≥ 2.
- A principal square root never produces a negative output.
- Therefore y ≥ 0.
Solution: Domain: x ≥ 2. Range: y ≥ 0.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
y = (x − 1)² + 2
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Domain: all real numbers; range: y ≥ 2.
f(x) = 1 ÷ (x + 5)
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Domain: x ≠ −5; range: y ≠ 0.
Error check
Common mistakes to watch for
- Switching domain and range
- Repeating values in a set
- Including a denominator value that makes division by zero