To determine the value of [tex]\( f(3) \)[/tex] using the given table, we simply need to find the value in the table where [tex]\( x = 3 \)[/tex].
Here’s the table again for reference:
[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]
From the table, locate the row corresponding to [tex]\( x = 3 \)[/tex]:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
3 & 9 \\
\hline
\end{array}
\][/tex]
Reading off the table, we see that when [tex]\( x = 3 \)[/tex], [tex]\( f(x) = 9 \)[/tex].
Therefore, [tex]\( f(3) = 9 \)[/tex].
The correct answer is [tex]\( 9 \)[/tex].
