To determine \( f(-2) \) from the given table, let's examine the data provided in the table for the function \( f(x) \). The table is:
[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]
We are asked to find the value of \( f(-2) \).
1. Locate \( x = -2 \) in the table.
2. Look at the corresponding \( f(x) \) value for \( x = -2 \).
According to the table:
- When \( x = -2 \), \( f(x) = 1 \).
Thus, the value of \( f(-2) \) is \( 1 \).
Therefore, the correct answer is:
[tex]\[
\boxed{1}
\][/tex]
