To determine the correct outputs of the function [tex]\( g(x) \)[/tex] for the given [tex]\( x \)[/tex] values, let's refer to the provided table directly.
The table is as follows:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
$x$ & -1 & 0 & 7 & 10 \\
\hline
$g(x)$ & 6 & 2 & -3 & 4 \\
\hline
\end{tabular}
\][/tex]
We need to extract the corresponding [tex]\( g(x) \)[/tex] values for each [tex]\( x \)[/tex] value from the table.
- For [tex]\( x = -1 \)[/tex], [tex]\( g(x) = 6 \)[/tex]
- For [tex]\( x = 0 \)[/tex], [tex]\( g(x) = 2 \)[/tex]
- For [tex]\( x = 7 \)[/tex], [tex]\( g(x) = -3 \)[/tex]
- For [tex]\( x = 10 \)[/tex], [tex]\( g(x) = 4 \)[/tex]
So, the outputs of the function for these [tex]\( x \)[/tex] values are: [tex]\( 6, 2, -3, 4 \)[/tex].
Therefore, the correct choice is:
[tex]\[ \text{Choice 3: } 6, 2, -3, 4 \][/tex]
This matches with the option:
[tex]\[ \boxed{3} \][/tex]
