Question

What is the domain and range of each relation?

Answer 1

Answer:

$\text{Domain of}R_1=\{-2,0,2,4\}$  and $\text{Range of}R_1=\{-3,-1,0\}$

$\text{Domain of}R_2=\{-3,-1,0,3\}$  and $\text{Range of}R_2=\{-1,0,1,2,3\}$

Step-by-step explanation:

Domain is the set of input values or x-values.

Range is the set of output values or y-values.

According to the relation mapping diagram, the relation is

$R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}$

So,

$\text{Domain of}R_1=\{-2,0,2,4\}$

$\text{Range of}R_1=\{-3,-1,0\}$

In the graph 5 points are plotted. So, the relation is  

$R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}$

So,

$\text{Domain of}R_2=\{-3,-1,0,3\}$

$\text{Range of}R_2=\{-1,0,1,2,3\}$