To determine the domain of the set of points provided, we need to identify all unique x-values from each ordered pair. The points given are:

$\{(4, -4), (-4, -1), (-3, 3), (4, -2), (1, 2)\}$

The domain of a relation is the set of all x-coordinates. Extracting the x-values from each pair, we have:

$\{4, -4, -3, 4, 1\}$

Removing duplicates, the unique x-values are:

$\{-4, -3, 1, 4\}$

Thus, the domain of this relation is:

$\{-4, -3, 1, 4\}$

Would you like more details or have any questions?

Here are some additional questions to expand your understanding:

1. What is the range of this relation?
2. How would you represent this relation in a function notation if it were a function?
3. Can a set of points with repeated x-values be considered a function?
4. How would you find the domain for a function defined by an equation instead of a set of points?
5. What is the significance of the domain and range in practical applications?

Tip: Always check for unique x-values in a set of points to determine the domain correctly.