Answer :
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]
[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]