Question

Determine the range of the following relation.

Input output
-4 1
0 7
2 2
7 7


A
{2, 7}


B
{1, 2, 7}


C
{–4, 0, 2, 7}


D
{–4, 0, 1, 2, 7}

Answer 1

The range of the relation is:

Range R = {1, 2, 7}

Therefore, option B is true.

Explanation:

Given the relation

Input Output

-4 1

0 7

2 2

7 7

Determining the domain:

• We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.

Thus, the domain of the relation is:

Domain R = {-4, 0, 2, 7}

Determining the range:

• We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.

Thus, the range of the relation is:

Range R = {1, 2, 7}

• Please note that the duplicated elements in the domain or the range of the function are written only once.

Therefore, option B is true.