To determine the domain of the given function, we need to identify all the possible \( x \) values for which the function is defined.
Given the table:
[tex]\[
\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
-6 & -7 \\
\hline
-1 & 1 \\
\hline
0 & 9 \\
\hline
3 & -2 \\
\hline
\end{tabular}
\][/tex]
The \( x \) values provided in the table are \(-6\), \(-1\), 0, and 3. These are the inputs for the function, each paired with a corresponding \( y \) value (the output).
The domain of a function is the set of all possible input values (\( x \)) for which the function is defined. Therefore, the domain of the given function is the set of all \( x \) values that appear in the table.
Thus, the domain of the given function is [tex]\(\{x \mid x=-6,-1,0,3\}\)[/tex].
