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Identifying Domain and Range - Printable Mathematics Worksheets year 8 - Wayground

Identifying Domain and Range

15 questions

8th - 8th Grade

Mathematics

Identifying Domain and Range is a Grade 8 mathematics worksheet that helps students distinguish a relation’s inputs and outputs. Across 15 multiple-choice questions, students identify the domain and range from ordered pairs, graphs, and sets, recognize x as the typical domain variable and y as the typical range variable, and recall the definitions of domain and range. The worksheet also asks students to distinguish discrete values from interval descriptions, such as identifying a domain as integers from -2 to 2 or as values between two endpoints. These varied representations help students connect domain and range vocabulary to numerical relations and graphs. This free printable worksheet is suitable for independent practice, review, or a quick check for understanding, and it includes a complete answer key for efficient feedback and grading.

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Worksheets

Identifying Domain and Range

Total questions: 15

Name
Class
Date
1.
Identify the domain of the following relation:
a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

2.
What is the range of the following graph?
a)
-5, -1,  0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1)  ( 6, 0)
d)
(6, 0)
3.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
4.
Which of the following best describes the domain of the relation graphed?
a)
all real numbers
b)
integers from -2 to 2
c)
rational numbers
d)
real numbers from -1 to 11
5.

What variable typically represents the domain?

a)

x

b)

y

6.

What variable typically represents the range?

a)

x

b)

y

7.

What is the domain?

a)

{5, 10, 15}

b)

{(5,2), (5,4), (10,6), (15,8)}

c)

{2, 4, 6, 8}

d)

{5, 2, 4, 10, 15}

8.

What is the domain?

a)

{1, 2, 3, 4, 5, 6}

b)

{0, 1, 2, 3, 4, 5, 6}

c)

{2, 4, 8}

d)

{-1, 0, 1, 2, 3, 6}

9.

What is the domain?

a)

{3, 4}

b)

{1, 2, 3}

c)

{1, 2, 3, 4}

d)

{1, 3}

10.

The set of all the inputs of a relation are called _____.

a)

domain

b)

range

11.

The set of all the outputs of a relation are called _____.

a)

domain

b)

range

12.

Identify the domain and range.

a)

Domain: {-3, 4}

Range: {0}

b)

Domain: between -3 and 4

Range: between 0 and 5

c)

Domain: all x's

Range: all y's

13.

Identify the domain and range.

a)

Domain: {-4, 0, 4}

Range: {-4, 0, 4}

b)

Domain: between -4 and 4

Range: between -4 and 4

c)

Domain: all x's

Range: all y's

14.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
15.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
Answer Key

Identifying Domain and Range

Total questions: 15

1.
c)

-6, 0, 2, 4

2.
a) -5, -1,  0 , 1, 5
3.
b) -2, 3, 8, 10
4.
b) integers from -2 to 2
5.
a)

x

6.
b)

y

7.
a)

{5, 10, 15}

8.
a)

{1, 2, 3, 4, 5, 6}

9.
b)

{1, 2, 3}

10.
a)

domain

11.
b)

range

12.
b)

Domain: between -3 and 4

Range: between 0 and 5

13.
b)

Domain: between -4 and 4

Range: between -4 and 4

14.
c) {1, 2, 3, 5}
15.
c) {-6, 0, 2, 4}

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FAQs

What does this domain and range worksheet cover?

This Grade 8 worksheet uses 15 multiple-choice questions to practice identifying the domain and range of relations from ordered pairs, graphs, and sets. Students also identify x as the typical domain variable, y as the typical range variable, and distinguish discrete input or output values from interval descriptions.

How can I use this worksheet to teach domain and range?

Introduce domain as the set of inputs and range as the set of outputs, then model how to read the first and second coordinates in an ordered pair. Use the worksheet’s graph and set questions to have students explain whether they are listing discrete values or describing a continuous interval before completing the multiple-choice items independently.

What mistakes should I watch for when students identify domain and range?

Watch for students selecting the second coordinates when a question asks for the domain, or the first coordinates when it asks for the range. Students may also choose the full ordered pairs instead of extracting one coordinate set, confuse x with y, or list only endpoint values when the relation is described as covering an interval.

How do I assign and grade this domain and range worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade digital responses through Wayground or scan students’ printable work with the Wayground for Teachers app.

How can I differentiate this domain and range worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the ordered-pair, graph, and set questions easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to the domain and range practice.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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