To find the domain of the given function, we need to identify all the x-values in the ordered pairs. The domain of a function is the set of all possible inputs, or the first elements in the ordered pairs.

The function is represented by the following ordered pairs: $\{(4, 9), (-6, 1), (-2, 5), (3, 1)\}$

The x-values from these pairs are: $4, -6, -2, 3$

So, the domain is $\{-6, -2, 3, 4\}$.

The correct answer is: $\{-6, -2, 3, 4\}$

Would you like more details or have any other questions?

Here are 5 related questions for practice:

1. What is the range of the given function?
2. If a new point $(1, 8)$ is added, how does the domain change?
3. How do you determine the range from a set of ordered pairs?
4. Can a function have multiple identical x-values in its domain?
5. What is the importance of the domain in understanding a function?

Tip: The domain of a function represents all possible x-values. Always check the first element in each pair for the domain.