https://file.aiquickdraw.com/mathbot/file/1729828915688g8cu0ofi.jpg

The domain of a function consists of all the input values (or "x-values") from the ordered pairs. In this case, the ordered pairs are given as:

\[
(1, -1), (7, -7), (-10, -5), (-8, 5), (9, -7), (8, -1)
\]

To find the domain, we extract the x-values from each ordered pair:

\[
1, 7, -10, -8, 9, 8
\]

Now, listing them in ascending order and removing any duplicates:

\[
\{-10, -8, 1, 7, 8, 9\}
\]

So, the correct domain is:

\[
\{-10, -8, 1, 7, 8, 9\}
\]

This corresponds to the option **{ -10, -8, 1, 7, 8, 9 }** in the image.

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. What is the range of this function?
2. How do you determine if a relation is a function?
3. What happens if two different x-values correspond to the same y-value?
4. What does it mean for a function to have an undefined domain?
5. How do you graph functions from a list of ordered pairs?

**Tip:** The domain represents all possible input values (x-values) that can be plugged into the function without causing any issues like division by zero or negative roots in even-degree radicals.

What is the domain of this function? (1, -1), (7, -7), (-10, -5), (-8, 5), (9, -7), (8, -1)

Learn how to find the domain of a function from a given set of ordered pairs. This problem involves identifying the x-values, arranging them, and determining the domain. Suitable for students in Grades 7-10.

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