Question

What are the domain and range of this relation?
(
–
3,9)
(
–
8,
–
7)
(3,
–
8)
(0,
–
1)
(
–
2,4)

Answer 1

To determine the domain and range of the given relation, we need to identify the sets of all first elements (x-coordinates) and second elements (y-coordinates) from the ordered pairs.

The ordered pairs provided are:
1. (-3, 9)
2. (-8, -7)
3. (3, -8)
4. (0, -1)
5. (-2, 4)

### Domain
The domain consists of the first elements from each ordered pair:
- From (-3, 9), the first element is -3.
- From (-8, -7), the first element is -8.
- From (3, -8), the first element is 3.
- From (0, -1), the first element is 0.
- From (-2, 4), the first element is -2.

Putting these together, the domain is:
\[
\text{Domain} = \{-8, -3, -2, 0, 3\}
\]

### Range
The range consists of the second elements from each ordered pair:
- From (-3, 9), the second element is 9.
- From (-8, -7), the second element is -7.
- From (3, -8), the second element is -8.
- From (0, -1), the second element is -1.
- From (-2, 4), the second element is 4.

Putting these together, the range is:
\[
\text{Range} = \{-8, -7, -1, 4, 9\}
\]

### Summary
- **Domain**: \(\{-8, -3, -2, 0, 3\}\)
- **Range**: \(\{-8, -7, -1, 4, 9\}\)