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Worksheets›Algebra 1›Linear functions & sequences›Domain and range

Domain and Range Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Algebra 1CCSS HSF.IF.A.1Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Ordered pairs

  1. 1.A relation is given by the ordered pairs (−4, −2), (3, 3), (7, −3).
  2. 2.A relation is given by the ordered pairs (0, 4), (3, 2), (4, 2).
  3. 3.A relation is given by the ordered pairs (0, 4), (1, −2), (7, −3).
  4. 4.A relation is given by the ordered pairs (−5, 6), (3, 0), (7, 3).
  5. 5.A relation is given by the ordered pairs (−4, 1), (1, 2), (4, 6).
  6. 6.A relation is given by the ordered pairs (−5, 9), (2, −2), (4, 7).
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

The domain is the set of inputs (x-values) and the range is the set of outputs (y-values). For a list of ordered pairs, list each x and each y once. For a square root, the inside must be at least 0, so solve inside ≥ 0. For a fraction, the denominator can't be 0, so every real number except the value that makes it 0 is in the domain.

EasyA relation is given by the ordered pairs (−2, 5), (3, 3), (6, 9).Ordered pairsMediumf(x) = √3x + 10Find the domain.Square-root functionsHardf(x) = 3x − 5 − 5Find the domain.Rational functions

How to solve it: a worked example

Find the domain, and the range when the relation is a list of pairs.

  1. StartA relation is given by the ordered pairs (−3, 8), (3, 0), (7, 3).
  2. The domain is the set of x-values−3, 3, 7
  3. The range is the set of y-values0, 3, 8
  4. Answerdomain {−3, 3, 7}, range {0, 3, 8}

Common mistakes to watch for

  • Swapping the domain and the range.
  • Listing a repeated value twice.
  • Solving inside > 0 for a square root, leaving out the value that makes it exactly 0.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Slope-intercept formParallel and perpendicular linesEvaluating functionsArithmetic and geometric sequencesStandard and point-slope form

FAQ

What restricts the domain of a function?

Two things in Algebra 1: you can't divide by zero, so x can't make a denominator 0, and you can't take the square root of a negative, so the expression under the root must be at least 0.

How do you list the domain and range of a set of ordered pairs?

The domain is the set of x-values and the range is the set of y-values. List each value once, usually in increasing order.

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix domain and range with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.