Question

15 POINTS + Brainly Award HELP
What is the domain and range of the relation shown in the table?
X Y
2 2
-1 4
5 2
-3 0
A. domain: {-3, -1, 2, 5}, range: {0, 2, 4}
B. domain: {-3, -1, 2, 5}, range: {y/y E R}
C. domain: {x/x E R}, range: {0, 2, 4}
D. domain: {0, 2, 4}, range: {-3, -1, 2, 5}

Answer 1

Option A

The domain and range of the relation shown in the table is Domain: {2, -1, 5, -3} and Range : {2, 4, 0}

Solution:

Given relation is :

X  Y

2  2

-1  4

5  2

-3  0

To find: domain and range of relation

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates).

Domain is the set of all possible inputs for which the function is defined. Range is the set of all possible outputs. The set all possible values of x for which the function is defined are known as domain and the set of all values of y are known as range.

The values of x are 2, -1, 5, -3 therefore the domain of the relation is

Domain: {2, -1, 5, -3}

The values of y are 2, 4, 2, 0 therefore the range of relation is:

Range : {2, 4, 0}