The problem asks for the domain of the function defined by the table of values, which is the set of all possible input values (the $x$-values) for the function.

From the table, the $x$-values are: $x = \{-9, 8, 5, 9, 4, -1, -7\}$

Thus, the domain of the function is the set of all these $x$-values, written as: $\{-9, -7, -1, 4, 5, 8, 9\}$

Do you want more details on how this works or have any further questions?

Here are 5 related questions:

1. How would you find the range of this function?
2. Can a function have duplicate $x$-values in the domain?
3. What is the difference between the domain and range of a function?
4. How do we represent the domain if the function involves a continuous variable?
5. How would the domain change if there were restrictions like division by zero or square roots?

Tip: The domain is the set of all input values where the function is defined, and the range is the set of all possible outputs.