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To determine the domain and range of the given relation:

### Relation:
\[
(4, -1), (5, -8), (8, -1), (4, 7), (5, -1)
\]

1. **Domain**:
   The domain is the set of all the first coordinates (x-values):
   \[
   \{4, 5, 8\}
   \]

2. **Range**:
   The range is the set of all the second coordinates (y-values):
   \[
   \{-8, -1, 7\}
   \]

### Correct Option:
The correct choice is:
- **Domain:** \(\{4, 5, 8\}\)
- **Range:** \(\{-8, -1, 7\}\)

Would you like an explanation for why this is correct? Here are some related questions to explore:

1. What is the difference between a domain and a range in a relation?
2. How do repeated values in x or y coordinates affect the domain or range?
3. Can a relation have overlapping values in the domain and range?
4. What happens if a coordinate has the same x-values but different y-values?
5. How can we determine if a relation is a function based on the domain and range?

**Tip**: Always check for unique values in the domain and range when analyzing relations.

What are the domain and range of this relation?

Relation: (4, -1), (5, -8), (8, -1), (4, 7), (5, -1)

Learn how to find the domain and range of a relation involving ordered pairs. Explore key mathematical concepts such as domain (x-values) and range (y-values), and analyze repeated elements in sets.

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