Small practice
brighter futures.
Checking sign-in status
Menu

General functions practice

Domain and range from graphs worksheets

Read finite domain and range intervals from eight varied relation graphs. Practice open and closed extrema and optionally apply the vertical line test.

Ready-made English PDF · fixed settings

Worksheet · LetterWorksheet · A4
Customize worksheet ↓
With answer key

Customization below makes a separate PDF.

First page of the domain and range from graphs worksheets printable worksheetOpen full-size sample (first page)

Fixed English ready-made files. Custom settings below apply only to the configured PDF.

Ready to print

Start with a ready-made worksheet

Read the leftmost and rightmost attained x-values for the domain, then the lowest and highest attained y-values for the range. Use brackets only for included extrema.

Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.

US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
Customize this worksheet

Paper sizes and printing help · More general functions activities

Read every attained extreme

Each sheet contains eight finite curves on grids from −5 to 5. Domain and range answers use exact interval notation; open and closed bounds follow whether an extreme is attained anywhere on the curve.

Turn on function classification to add the vertical line test without changing the curves.

Learning objective

What this activity builds

Use the horizontal and vertical extent of a finite graph to write exact domain and range intervals.

Worked example

A curve runs from an open point at (−2, 4) to an open point at (2, −4).

Domain (−2, 2); range (−4, 4).

Neither endpoint is included, and this segment has no interior point at either extreme.

Teaching notes

Make the practice count

  • Find horizontal extent for domain.
  • Find vertical extent for range.
  • An interior turning point is included.
  • Check whether an extreme occurs more than once.
  • Use the vertical line test only when the function question is shown.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Choose the practice settings, update the preview and print the same questions with a separate answer key.

Worksheet settings

Graph types
Page note and reproducible seed

The same settings and seed make the same questions. Shared links include your page note; leave personal information out. Notes use the selected language’s supported characters; English accepts basic Latin text.

Configured PDF · Domain and Range from Graphs · US Letter

Preview ready. Download includes these exact pages.

1 student page
Enlarged pages scroll. PDF size stays the same.
Math SheetNameScore/ 16TeacherDateDomain and Range from GraphsWrite the domain and range in interval notation.1.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:2.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:3.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:4.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:5.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:6.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:7.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:8.-5-5-4-4-3-3-2-2-1-1001122334455xyDomain:Range:math-sheet.comPage 1 / 1

A useful next step

Related activities

First page preview: Identifying functions from graphs worksheets

General functions

Identifying functions from graphs worksheets

Apply the vertical line test to eight finite graph relations. Choose lines, polynomials, special curves, horizontal parabolas or rotated curves, with balanced endpoints and a separate key.

Preview and download
First page preview: Domain and range from ordered pairs worksheets

General functions

Domain and range from ordered pairs worksheets

Find the domain and range of ten five-pair relations. Choose negative or nonnegative coordinates, control repeats independently and optionally classify each relation as a function.

Preview and download
First page preview: Average rate of change from graphs worksheets

General functions

Average rate of change from graphs worksheets

Read four function graphs and estimate their average rates of change. Choose linear, quadratic, cubic, sine or exponential curves, with secants and worked answers.

Preview and download