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]
[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]