To find the value of [tex]\( f(3) \)[/tex] from the given table, we need to look up the value of the function [tex]\( f \)[/tex] when [tex]\( x = 3 \)[/tex].
The table provides the following pairs of [tex]\( (x, f(x)) \)[/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]
We need to find the value associated with [tex]\( x = 3 \)[/tex]. According to the table:
For [tex]\( x = 3 \)[/tex], the corresponding [tex]\( f(x) \)[/tex] value is 9.
Thus, [tex]\( f(3) = 9 \)[/tex].
Therefore, the correct answer is [tex]\( 9 \)[/tex].