Topics
6. Functions & Relations
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United States of AmericaFL
Grade 8

6.04 Domain and range

Lesson
Worksheet
Practice
Worksheet
Domain and range
1

For each of the following relations:

i

Find the domain.

ii

Find the range.

iii

Determine whether or not the relation is a function.

a

\left\{\left(8, 5\right), \left(1, 3\right), \left(3, 4\right), \left(9, 1\right), \left(2, 9\right)\right\}

b

\left\{\left(2, 3\right), \left(3, 8\right), \left(6, 1\right), \left(8, 7\right), \left(3, 2\right)\right\}

c

\left\{\left(4, 4\right), \left(8, 9\right), \left(2, 8\right), \left(7, 9\right), \left(3, 1\right)\right\}

d

\left\{\left(16, 14\right), \left(8, 28\right), \left( - 15 , 14\right), \left( - 20 , - 28 \right)\right\}

2

For each of the following relations:

i

Find the domain.

ii

Find the range.

iii

Determine whether or not the relation is a function.

a
x16382
y32712
b
x77853
y19326
c
x26915
y65183
d
x22222
y-11357
3

For each of the following relations:

i

Find the domain.

ii

Find the range.

iii

Determine whether or not the relation is a function.

a
1
2
3
4
5
6
7
8
9
10
x
1
2
3
4
5
6
7
8
9
10
y
b
1
2
3
4
5
6
7
8
9
10
x
1
2
3
4
5
6
7
8
9
10
y
c
-4
-3
-2
-1
1
2
3
4
x
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
y
d
1
2
3
4
5
6
7
8
9
10
11
x
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
y
4

For each relation below:

i

State the domain.

ii

State the range.

iii

Determine whether or not the relation is a function.

a
1
2
3
4
5
6
7
8
9
x
1
2
3
4
5
6
7
8
9
y
b
1
2
3
4
5
6
7
x
1
2
3
4
5
6
7
y
c
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
d
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
5

Consider the function graphed:

a

State the domain.

b

State the range.

-6
-4
-2
2
4
6
x
-6
-4
-2
2
4
6
y
6

Consider the graph of y = x^3:

a

State the domain.

b

State the range.

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
7

Consider the graph of y = 2x:

a

State the domain.

b

State the range.

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
8

Consider the graph of y = x+2:

a

State the domain.

b

State the range.

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
9

Consider the graph of y = \dfrac{x}{3}:

a

State the domain.

b

State the range.

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
10

Consider the function graphed:

a

State the range.

b

State the domain.

-10
-8
-6
-4
-2
2
x
-8
-6
-4
-2
2
4
6
8
10
12
14
16
y
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Outcomes

MA.8.F.1.1

Given a set of ordered pairs, a table, a graph or mapping diagram, determine whether the relationship is a function. Identify the domain and range of the relation.

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