The table represents a function.

\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$f(x)$[/tex] \\
\hline
-6 & 3 \\
\hline
-2 & 1 \\
\hline
0 & 4 \\
\hline
3 & -2 \\
\hline
\end{tabular}

What is [tex]$f(-2)$[/tex]?

A. [tex]$-3$[/tex]

B. [tex]$-1$[/tex]

C. 1

D. 3



Answer :

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]