Sure! Let's determine the value of [tex]\( f(3) \)[/tex] using the provided table.
We have the following values in the table:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-3 & -9 \\
\hline
-2 & -6 \\
\hline
-1 & -3 \\
\hline
0 & 0 \\
\hline
1 & 3 \\
\hline
2 & 6 \\
\hline
3 & 9 \\
\hline
\end{array}
\][/tex]
To find [tex]\( f(3) \)[/tex], we locate the row where [tex]\( x = 3 \)[/tex] and find the corresponding [tex]\( f(x) \)[/tex]:
When [tex]\( x = 3 \)[/tex], the value of [tex]\( f(x) \)[/tex] is 9.
Thus, [tex]\( f(3) = 9 \)[/tex].
Among the given choices, the correct answer is:
[tex]\[
\boxed{9}
\][/tex]