To determine the value of [tex]\( f(-2) \)[/tex], we need to look up the function table provided:
[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 specifically want to find the value of [tex]\( f(x) \)[/tex] when [tex]\( x = -2 \)[/tex].
1. Locate [tex]\( x = -2 \)[/tex] in the table:
[tex]\[
x = -2 \quad \Rightarrow \quad f(-2)
\][/tex]
2. Identify the corresponding [tex]\( f(x) \)[/tex] value for [tex]\( x = -2 \)[/tex]:
[tex]\[
f(-2) = 1
\][/tex]
Therefore, the value of [tex]\( f(-2) \)[/tex] is [tex]\( 1 \)[/tex].
So, the correct answer is:
[tex]\[ 1 \][/tex]
