To determine the domain and range of the given relation, we need to extract the set of first and second elements from the ordered pairs, respectively.

The relation given is:

$\{(-3, -6), (-7, 6), (8, -2), (0, 2), (-9, 8), (4, 2)\}$

1. Domain: The domain is the set of all first elements from each ordered pair: $\text{Domain} = \{-3, -7, 8, 0, -9, 4\}$

2. Range: The range is the set of all second elements from each ordered pair: $\text{Range} = \{-6, 6, -2, 2, 8\}$

So, the domain and range are:

• Domain: {-3, -7, 8, 0, -9, 4}
• Range: {-6, 6, -2, 2, 8}

Would you like further details or have any questions?

Here are 5 follow-up questions for practice:

1. Can a relation have repeated elements in the domain?
2. What is the difference between a relation and a function?
3. Can the range of a relation include repeated values?
4. How do we determine whether a relation is a function based on its domain and range?
5. What happens if one value in the domain corresponds to multiple values in the range?

Tip: In a function, each element of the domain must map to exactly one element of the range.