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Domain and Range Algebra 2 - Printable Mathematics Worksheets - Wayground

Domain and Range Algebra 2

20 questions

9th - 12th Grade

Mathematics

Domain and Range Algebra 2 is a free printable Mathematics worksheet for students in Grades 9–12. It develops the skill of identifying domain as the set of input x-values and range as the set of output y-values across relations represented by mappings, graphs, ordered pairs, inequalities, and interval notation. Students also interpret endpoints and unbounded intervals, including cases such as [−3, 5) and (−∞, 6]. The 20-question set includes 18 multiple-choice items and 2 multiple-select items. Students identify domains and ranges from visual and symbolic representations, write domains and ranges for ordered-pair relations, and distinguish set notation, inequality notation, and interval notation. Use it for independent practice, review, or a formative check, with the included answer key supporting efficient feedback and grading.

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Domain and Range Algebra 2

Total questions: 20

Name
Class
Date
1.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

2.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

3.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

[1, 4]

d)

(1, 4)

e)

(1, 2, 4)

4.

What is the domain of the graph?

a)

[-7, 5)

b)

[-3, 1)

c)

{-7, 5}

d)

{-3, 1}

5.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

6.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}

R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}

R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}

R:{1, -3, -4}

d)

D: [-4, 2]

R: [-4, 1]

7.

What is the domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

e)

{-3, 5}

8.

What is the domain in interval notation?

a)

-3 ≤ x < 5

b)

[-3, 5)

c)

-8 ≤ x < 5

d)

[-8, 5)

9.

Two of these are correct, one is not. What is the range? Select the two that are correct.

a)

-8 ≤ y < 5

b)

{-8, 5}

c)

[-8, 5)

10.

State the domain.

a)

(−∞, ∞)\left(-\infty,\ \infty\right)

b)

(3, ∞)\left(3,\ \infty\right)

c)

(0, ∞)\left(0,\ \infty\right)

d)

[0, ∞)\left[0,\ \infty\right)

11.

State the range.

a)

[3, 3]\left[3,\ 3\right]

b)

[3, ∞)\left[3,\ \infty\right)

c)

[0, ∞)\left[0,\ \infty\right)

d)

(−∞, ∞)\left(-\infty,\ \infty\right)

12.

What is the domain?

a)

0 < y < ∞

b)

y ≥ 0

c)

x ≥ 0

d)

0 < x < ∞

e)

0 ≤ x < 32

13.

What is the range?

a)

0.5 < y < ∞

b)

y ≥ 0

c)

0 ≤ x

d)

0 < x < ∞

14.

What is the domain?

a)

[10,6]\left[10,6\right]

b)

(−∞, 6]\left(-\infty,\ 6\right]

c)

(−∞, ∞)\left(-\infty,\ \infty\right)

15.

What is the range?

a)

[−10, 6]\left[-10,\ 6\right]

b)

(−∞, 6)\left(-\infty,\ 6\right)

c)

(−∞, 6]\left(-\infty,\ 6\right]

d)

(−∞, ∞)\left(-\infty,\ \infty\right)

16.

What is the domain of the graph?

a)

(1, ∞)\left(1,\ \infty\right)

b)

[1, ∞)\left[1,\ \infty\right)

c)

(−∞, ∞)\left(-\infty,\ \infty\right)

d)

None of these

17.

What is the range of the graph?

a)

(1, ∞)\left(1,\ \infty\right)

b)

[1, ∞)\left[1,\ \infty\right)

18.

What are the domain and range? Select both from the choices shown.

a)

D: [1, 7]D:\ \left[1,\ 7\right]

b)

R: [−3, 3]R:\ \left[-3,\ 3\right]

c)

D: −3≤x≤3D:\ -3\le x\le3

d)

R: −1≤y≤7R:\ -1\le y\le7

19.

What is the domain of the graph?

a)

[1, 5]\left[1,\ 5\right]

b)

[1, 4]\left[1,\ 4\right]

c)

{1, 2, 4, 5}\left\{1,\ 2,\ 4,\ 5\right\}

d)

{1, 4}\left\{1,\ 4\right\}

20.

What is the range of the graph in set builder notation?

a)

-3 ≤ y ≤ 3

b)

-2 ≤ y ≤ 3

c)

-3 ≤ y ≤ 4

d)

All real numbers

Answer Key

Domain and Range Algebra 2

Total questions: 20

1.
a)

the set of all x-values

2.
b)

Range

3.
a)

{1, 2, 4}

4.
a)

[-7, 5)

5.
c)

-3 ≤ y < 1

6.
b)

D:{0, 1, 2, -4}

R:{1, -3, -4}

7.
a)

-3 ≤ x < 5

8.
b)

[-3, 5)

9.
c)

[-8, 5)

, a)

-8 ≤ y < 5

10.
d)

[0, ∞)\left[0,\ \infty\right)

11.
a)

[3, 3]\left[3,\ 3\right]

12.
c)

x ≥ 0

13.
b)

y ≥ 0

14.
c)

(−∞, ∞)\left(-\infty,\ \infty\right)

15.
c)

(−∞, 6]\left(-\infty,\ 6\right]

16.
c)

(−∞, ∞)\left(-\infty,\ \infty\right)

17.
b)

[1, ∞)\left[1,\ \infty\right)

18.
b)

R: [−3, 3]R:\ \left[-3,\ 3\right]

, a)

D: [1, 7]D:\ \left[1,\ 7\right]

19.
a)

[1, 5]\left[1,\ 5\right]

20.
b)

-2 ≤ y ≤ 3

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FAQs

What does the Domain and Range Algebra 2 worksheet cover?

This worksheet builds students’ ability to identify domain as the x-values and range as the y-values of a relation. Its 20 items require students to read mappings and graphs, extract values from ordered pairs, interpret inequalities and endpoint notation, and answer 18 multiple-choice plus 2 multiple-select questions.

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

Begin by reviewing domain as inputs and range as outputs, then model one mapping, one graph, and one ordered-pair example from the worksheet. Have students explain why an endpoint is included or excluded when converting a graph to interval notation, and use the multiple-select range item to prompt discussion about equivalent inequality and interval representations.

What mistakes should I watch for when students complete this domain and range worksheet?

Watch for students reversing domain and range, reading x-values where y-values are requested, or including the wrong endpoint in intervals such as [−3, 5). Students may also list every ordered-pair coordinate instead of collecting only the first coordinates for the domain and second coordinates for the range, or confuse a continuous interval with a discrete set of values.

How do I assign and grade this Domain and Range Algebra 2 worksheet?

You can assign it as a printable PDF or as a digital quiz on Wayground. The worksheet includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support classrooms that are reducing screen time.

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

Use the worksheet’s Advanced Settings to adjust font spacing and font size so interval notation, inequalities, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet’s directions and domain-and-range prompts into another language.

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 help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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