To find [tex]\( f(5) \)[/tex] from the given function table, we'll look up the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 5 \)[/tex].
Here is the provided table:
[tex]\[
\begin{tabular}{|c|c|}
\hline $x$ & $f(x)$ \\
\hline -4 & -2 \\
\hline -1 & 5 \\
\hline 3 & 4 \\
\hline 5 & -8 \\
\hline
\end{tabular}
\][/tex]
We are interested in the value corresponding to [tex]\( x = 5 \)[/tex]. From the table, we see:
When [tex]\( x \)[/tex] is [tex]\( 5 \)[/tex], the corresponding value [tex]\( f(5) \)[/tex] is [tex]\( -8 \)[/tex].
Therefore, [tex]\( f(5) = -8 \)[/tex].
So the correct answer is [tex]\( -8 \)[/tex].
