To determine the value of [tex]\( f(-2) \)[/tex], we need to examine the given table, which provides the values of the function [tex]\( f(x) \)[/tex] for specific [tex]\( x \)[/tex]-values.
Here is the table again for reference:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-6 & 3 \\
\hline
-2 & 1 \\
\hline
0 & 4 \\
\hline
3 & -2 \\
\hline
\end{array}
\][/tex]
The task is to find the value of [tex]\( f(x) \)[/tex] when [tex]\( x = -2 \)[/tex].
1. Look at the second row of the table, where [tex]\( x = -2 \)[/tex].
2. The corresponding value of [tex]\( f(x) \)[/tex] in this row is 1.
Therefore, [tex]\( f(-2) = 1 \)[/tex].
So, the correct answer is:
[tex]\[1\][/tex]
