Is this 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. [tex]$1$[/tex]
D. [tex]$3$[/tex]



Answer :

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]

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