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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.

What is the domain of the following function represented by ordered pairs? {(4, 9), (-6, 1), (-2, 5), (3, 1)}

Learn how to find the domain of a function represented by ordered pairs. This problem covers key concepts in functions, including identifying the x-values to determine the domain. Suitable for students in Grades 6-8.

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