To determine the value of [tex]\( f(-2) \)[/tex] from the given table, follow these steps:
1. Identify the row in the table where [tex]\( x = -2 \)[/tex].
2. Look at the corresponding [tex]\( f(x) \)[/tex] value in that row.
Here is the table 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]
In the row where [tex]\( x = -2 \)[/tex]:
[tex]\[
\begin{array}{|c|c|}
\hline
-2 & 1 \\
\hline
\end{array}
\][/tex]
We can see that the corresponding value of [tex]\( f(-2) \)[/tex] is [tex]\( 1 \)[/tex].
Therefore, the value of [tex]\( f(-2) \)[/tex] is [tex]\( 1 \)[/tex].
