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.