Question

What is the domain and range of each relation?

Drag the answer into the box to match each relation.

A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.

Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.

Answer 1

`\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\}`

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\}`