To determine the value of [tex]\( f(3) \)[/tex] using the provided table, you simply need to refer to the row where [tex]\( x = 3 \)[/tex].
[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]
Look at the value in the column where [tex]\( x = 3 \)[/tex]. According to the table, when [tex]\( x = 3 \)[/tex], [tex]\( f(x) = 9 \)[/tex].
Therefore, [tex]\( f(3) = 9 \)[/tex].
The correct answer is:
[tex]\[
\boxed{9}
\][/tex]