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Alg 2: Relations, Domain, and Range REQUIZ - Printable Mathematics Worksheets - Wayground

Alg 2: Relations, Domain, and Range REQUIZ

20 questions

10th - 10th Grade

Mathematics

Alg 2: Relations, Domain, and Range REQUIZ is a Grade 10 mathematics worksheet focused on identifying and describing relations and functions. Students determine the domain and range of graphs, circles, ordered-pair sets, and mappings; decide whether a relation is a function; explain function status using repeated x-values; and recognize domain and range terminology. The worksheet also includes function notation problems that require students to evaluate f(-2) and f(0) by substituting values into linear rules. This free printable worksheet includes 20 questions—19 multiple-choice items and one open-ended question—so teachers can check both recognition and application of Algebra 2 skills. Students interpret visual representations, extract inputs and outputs from ordered pairs, apply the vertical-line idea to graphs, and distinguish domain from range. A complete answer key is included for efficient review, independent practice, homework, or an end-of-skill check.

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Worksheets

Alg 2: Relations, Domain, and Range REQUIZ

Total questions: 20

Name
Class
Date
1.

Which of these sets is the RANGE of the graph?

a)

{0, 6, 12, 18}

b)

{-2, 0, 2, 4}

c)

{-2, 2, 4}

d)

{6, 12, 18}

2.

What is the range of this circle?

4 lines
3.

What is the domain of this graph?

a)

All Real Numbers

b)

x > -2

c)

x < 6

d)

-2 < x < 6

4.

What is the range of this graph?

a)

y < 3

b)

y > -3

c)

y > 0

d)

All Real Numbers

5.
Is this a function? 
a)
Yes 
b)
No
6.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
7.
a)
Function
b)
Not a Function
8.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
9.
Which graph is a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
10.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
11.
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:{-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
12.
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}
13.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
14.

The graph of a relation is shown below. Is the relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

15.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
16.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
17.
Given f(x) =
2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
18.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
19.
If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?
a)
7
b)
-2
c)
-9
d)
-10
20.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
Answer Key

Alg 2: Relations, Domain, and Range REQUIZ

Total questions: 20

1.
a)

{0, 6, 12, 18}

2.
n/a
3.
b)

x > -2

4.
d)

All Real Numbers

5.
a) Yes 
6.
b) Range
7.
b) Not a Function
8.
a) Graph 1
9.
a) Graph 1
10.
c) No, because the x-value 11 has two y-values pair with it.
11.
b) D:{-4, 0, 1, 2}
R:{-4, -3, 1}
12.
b) D:{0, 1, 2, -4}
R:{1, -3, -4}
13.
b) Not a Function
14.
b)

No

15.
b) 1
16.
c) 3
17.
a) f(-1) = -20
18.
a) x = -5
19.
b) -2
20.
a) y

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FAQs

What does this worksheet cover, and how does it help students learn domain, range, and functions?

This Grade 10 Algebra 2 worksheet uses 19 multiple-choice questions and one open-ended question to practice identifying functions from graphs, mappings, and relations, and finding domain and range from graphs, a circle, and ordered pairs. It also asks students to evaluate function notation such as f(-2) and f(0), helping them connect inputs and outputs with both representations and algebraic rules.

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

Introduce the worksheet by having students label x-values as inputs or domain and y-values as outputs or range, then model how the same idea appears in ordered pairs, mappings, and graphs. Before students answer the function items, discuss why one x-value paired with two y-values means a relation is not a function and use the vertical-line test to interpret the graph choices. Finish by modeling careful substitution for the f(x) evaluation questions.

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

Watch for students reversing domain and range, especially in the ordered-pair questions, or listing repeated values instead of writing the distinct inputs and outputs. Students may also identify a relation as a function merely because it has several pairs, overlooking an x-value paired with two y-values in the relation and mapping items. In the final function-notation questions, sign errors and substituting the input incorrectly are common.

How do I assign and grade this worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for checking all 20 items. You can grade printed submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital quiz. The printable format also gives schools an option for reducing screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to increase font size or adjust font spacing so the graph, mapping, ordered-pair, and function-notation items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the same practice on domain, range, and functions.

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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