To identify [tex]\( f(0) \)[/tex] from the given table, let's carefully examine the values provided.
The table lists pairs of [tex]\( x \)[/tex] and [tex]\( f(x) \)[/tex] values as follows:
[tex]\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-2 & 0 \\
\hline
-1 & 1 \\
\hline
0 & 2 \\
\hline
1 & -2 \\
\hline
2 & -1 \\
\hline
\end{array}
\][/tex]
We are asked to determine [tex]\( f(0) \)[/tex].
Looking at the row where [tex]\( x = 0 \)[/tex]:
- The corresponding value of [tex]\( f(x) \)[/tex] when [tex]\( x = 0 \)[/tex] is [tex]\( f(0) = 2 \)[/tex].
Thus, the value of [tex]\( f(0) \)[/tex] extracted from the table is [tex]\( 2 \)[/tex].
Therefore, the correct answer is:
a) 2
