Worksheets · Algebra 2

Domain and range from a graph worksheet for Algebra 2

In Algebra 2 the graphs get harder to read: square roots and cubics, pieces that stop and start, and endpoints that are open or closed. The skill is the same, x read left to right and y bottom to top, but the gaps and turning points are where the marks are.

Also taught in Algebra 1, at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Domain and Range from a Graph

Date Period

Find the domain and range of each graph.

  1. Find the domain and range.−10−10−5−5551010
  2. Find the domain and range.−10−10−5−5551010
  3. Find the domain and range.−10−10−5551010−5
  4. Find the domain and range.−10−10−5−5551010
  5. Find the domain and range.−10−10−5−5551010
  6. Find the domain and range.−10−10551010−5−5
  7. Find the domain and range.−10−10−5−5551010
  8. Find the domain and range.−10−10−5−5551010
  9. Find the domain and range.−10−10−5−5551010
  10. Find the domain and range.−10−10−5−5551010
  11. Find the domain and range.−10−10−5−5551010
  12. Find the domain and range.−10−10−5−5551010
  13. Find the domain and range.−10−10−5−5551010
  14. Find the domain and range.−10−10−5−5551010
  15. Find the domain and range.−10−10−5−551010
  16. Find the domain and range.−10−10−5−5551010
  17. Find the domain and range.−10−10−5551010
  18. Find the domain and range.−10−10−5−5551010
  19. Find the domain and range.−10−10551010−5−5
  20. Find the domain and range.−10−10−5−5551010

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

Sigma Prep · sigmaprep.io/worksheets

Name

Domain and Range from a GraphAnswer keyVersion 2

Date Period

Find the domain and range of each graph.

  1. Find the domain and range.−10−10−5−5551010D: −4<x≤7,  R: −2≤y≤−1
  2. Find the domain and range.−10−10−5−5551010D: −8<x<1,  R: −9<y≤1
  3. Find the domain and range.−10−10−5551010−5D: −8<x≤5,  R: −3≤y≤3
  4. Find the domain and range.−10−10−5−5551010D: x<−1,  R: y≤−1
  5. Find the domain and range.−10−10−5−5551010D: x≥0,  R: y≤−1
  6. Find the domain and range.−10−10551010−5−5D: x>−5,  R: y<1
  7. Find the domain and range.−10−10−5−5551010D: −3≤x<2,  R: −9≤y≤0
  8. Find the domain and range.−10−10−5−5551010D: −8<x<5,  R: −1≤y<7
  9. Find the domain and range.−10−10−5−5551010D: 0<x≤2,  R: −1≤y<3
  10. Find the domain and range.−10−10−5−5551010D: x>−5,  R: y>3
  11. Find the domain and range.−10−10−5−5551010D: x<6,  R: y≥4
  12. Find the domain and range.−10−10−5−5551010D: −8<x<8,  R: −7≤y<6
  13. Find the domain and range.−10−10−5−5551010D: −7<x<−1,  R: −2≤y<6
  14. Find the domain and range.−10−10−5−5551010D: x≥−4,  R: y≥−1
  15. Find the domain and range.−10−10−5−551010D: x≤0,  R: y≥5
  16. Find the domain and range.−10−10−5−5551010D: x<0,  R: y≤1
  17. Find the domain and range.−10−10−5551010D: x>−5,  R: y≤2
  18. Find the domain and range.−10−10−5−5551010D: x>−3,  R: y≥2
  19. Find the domain and range.−10−10551010−5−5D: x<0,  R: y≥−5
  20. Find the domain and range.−10−10−5−5551010D: x≤4,  R: y≤0

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

How to do these

A parabola opening down with vertex (1,4), arrows on both ends

  1. The arrows mean it keeps going left and right forever, so every x is covered.
  2. The highest point is the vertex, y = 4, and it falls forever below that.

The answer is D: all real numbers, R: y≤4.

Where students go wrong

Getting an endpoint wrong. A solid dot is included, so it takes ≤ or ≥; an open circle is not, so it takes < or >. An arrow means the graph keeps going, with no endpoint at all.

Also called domain and range from a graph, domain and range of a graph or finding domain and range from a graph.

What you can put on this worksheet

Domain and range from a graph
Find the domain and range. → D: −5≤x≤1,  R: −9≤y≤0
A circle: not a function
Is the relation a function? Give its domain and range. → Not a functionDomain: −4≤x≤4Range: −3≤y≤5
Vertical segments and sideways parabolas
The relation fails the vertical line test. State its domain and range. → Not a functionDomain: −7≤x≤2Range: −8≤y≤−2

Questions about these worksheets

Yes. Every domain and range from a graph 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 2 is usually taken around 10th or 11th 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 from a graph 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 3: domain and range from a graph, a circle: not a function and vertical segments and sideways parabolas. Tick as many as you want and set how many of each, or let it spread them evenly.

Reading the range off the ends of the graph. A parabola or a V can turn around in the middle, and then the lowest or highest point is the vertex, not an end.