Worksheets · Algebra 1

Domain and range worksheet

The domain is every input that works, the range every output that happens. For a list of points, read them off. For a square root, the domain is every x that keeps the inside at zero or above. For a given domain, put each input in and collect the outputs.

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Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Domain and Range

Date Period

Find what is asked.

  1. Find the domain and range of each relation

    Find the domain and range of the relation in the table. x2−91914y−19−10−7−2
  2. Find the domain and range of the relation in the table. x−631543y59−59−7−3
  3. Find the domain and range of the relation in the table. x−2−43983y868−7−96
  4. Find the domain and range of the relation in the table. x−2−33013y67−47−47
  5. Find the domain and range of the relation in the table. x−8−576−5−2y1−47−487
  6. Find the domain and range of the relation in the table. x4−5−67−2−5y03−1−75−7
  7. Find the domain and range of the relation in the table. x96−2020y−83−3−453

  1. Find the domain of a square root function

    State the domain of f(x)=−6x−14
  2. State the domain of f(x)=5x−11
  3. State the domain of f(x)=5x+28
  4. State the domain of f(x)=−6x+13
  5. State the domain of f(x)=−5x−27
  6. State the domain of f(x)=5x−24
  7. State the domain of f(x)=−6x+11

  1. Find the range for a given domain

    Find the range of f(x)=x2−2 for the domain {−4,0,2,4}
  2. Find the range of f(x)=x2+2 for the domain {−2,2,5,6}
  3. Find the range of f(x)=x2−4 for the domain {−3,0,6}
  4. Find the range of f(x)=x2+4 for the domain {−4,−1,3,6}
  5. Find the range of f(x)=x2+3 for the domain {0,2,4,5}
  6. Find the range of f(x)=x2+1 for the domain {−4,−2,3}

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Domain and RangeAnswer keyVersion 1

Date Period

Find what is asked.

  1. Find the domain and range of each relation

    Find the domain and range of the relation in the table. x2−91914y−19−10−7−2D={−9,1,2,4,9}, R={−7,−2,−1,0,9}
  2. Find the domain and range of the relation in the table. x−631543y59−59−7−3D={−6,1,3,4,5}, R={−7,−5,−3,5,9}
  3. Find the domain and range of the relation in the table. x−2−43983y868−7−96D={−4,−2,3,8,9}, R={−9,−7,6,8}
  4. Find the domain and range of the relation in the table. x−2−33013y67−47−47D={−3,−2,0,1,3}, R={−4,6,7}
  5. Find the domain and range of the relation in the table. x−8−576−5−2y1−47−487D={−8,−5,−2,6,7}, R={−4,1,7,8}
  6. Find the domain and range of the relation in the table. x4−5−67−2−5y03−1−75−7D={−6,−5,−2,4,7}, R={−7,−1,0,3,5}
  7. Find the domain and range of the relation in the table. x96−2020y−83−3−453D={−2,0,2,6,9}, R={−8,−4,−3,3,5}

  1. Find the domain of a square root function

    State the domain of f(x)=−6x−14x≤−73
  2. State the domain of f(x)=5x−11x≥115
  3. State the domain of f(x)=5x+28x≥−285
  4. State the domain of f(x)=−6x+13x≤136
  5. State the domain of f(x)=−5x−27x≤−275
  6. State the domain of f(x)=5x−24x≥245
  7. State the domain of f(x)=−6x+11x≤116

  1. Find the range for a given domain

    Find the range of f(x)=x2−2 for the domain {−4,0,2,4}{−2,2,14}
  2. Find the range of f(x)=x2+2 for the domain {−2,2,5,6}{6,27,38}
  3. Find the range of f(x)=x2−4 for the domain {−3,0,6}{−4,5,32}
  4. Find the range of f(x)=x2+4 for the domain {−4,−1,3,6}{5,13,20,40}
  5. Find the range of f(x)=x2+3 for the domain {0,2,4,5}{3,7,19,28}
  6. Find the range of f(x)=x2+1 for the domain {−4,−2,3}{5,10,17}

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the range of f(x)=x2−3 for the domain {−2,0,1}

  1. f(-2) = 4 - 3 = 1.
  2. f(0) = -3, and f(1) = -2.

The answer is {−3,−2,1}.

Where students go wrong

Listing the same output twice. The range is a set: if two inputs give 1, it appears once.

Also called finding domain and range, range of a function or domain from an equation.

What you can put on this worksheet

Domain and range of a set of points
Find the domain and range of {(5,5), (7,2), (0,9), (4,3)} → D={0,4,5,7}, R={2,3,5,9}
The domain of a square root
State the domain of f(x)=3x+7 → x≥−73
Which values are not allowed
3v−5v−6 → v≠6
The range for a given domain
Find the range of f(x)=−3x+1 for the domain {1,2,4} → {−11,−5,−2}
Domain and range from a graph
Find the domain and range. → D: −5≤x≤1,  R: −9≤y≤0

Questions about these worksheets

Yes. Every domain and range sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the domain and range questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 5: domain and range of a set of points, the domain of a square root, which values are not allowed, the range for a given domain and domain and range from a graph. Tick as many as you want and set how many of each, or let it spread them evenly.

Listing the same output twice. The range is a set: if two inputs give 1, it appears once.