To find the domain of a relation, we look at all the distinct x-values (first elements) in each ordered pair.

For the given relation:

$\{ (9, -3), (8, -8), (3, 2), (-4, -7), (5, 1) \}$

we extract the x-values from each ordered pair:

• $9$ from $(9, -3)$
• $8$ from $(8, -8)$
• $3$ from $(3, 2)$
• $-4$ from $(-4, -7)$
• $5$ from $(5, 1)$

Therefore, the domain of this relation is:

$\{9, 8, 3, -4, 5\}$

Would you like further details on the concept of domains, or have any questions?

Here are some related questions to explore further:

1. How do you find the range of a relation?
2. What is the difference between a domain and a range?
3. Can a relation have duplicate x-values in the domain?
4. How do you determine if a relation is a function?
5. How would the domain change if a new pair $(3, -5)$ was added?

Tip: When identifying the domain, focus only on the unique x-values in each ordered pair, as they define the possible inputs of the relation.