Answer :
To determine the range of the given function, we need to look at the [tex]\( y \)[/tex]-values from the provided table of values. The range is the set of all output values ( [tex]\( y \)[/tex] values) that the function takes.
Given the table:
[tex]\[ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline -5 & 9 \\ \hline 1 & 0 \\ \hline 4 & -7 \\ \hline 6 & -1 \\ \hline \end{tabular} \][/tex]
The [tex]\( y \)[/tex]-values listed are 9, 0, -7, and -1.
The range of the function is the set of these [tex]\( y \)[/tex]-values:
[tex]\[ \{ y \mid y = -7, -1, 0, 9 \} \][/tex]
By comparing this with the given options, the correct choice is:
[tex]\[ \{ y \mid y = -7, -1, 0, 9 \} \][/tex]
Given the table:
[tex]\[ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline -5 & 9 \\ \hline 1 & 0 \\ \hline 4 & -7 \\ \hline 6 & -1 \\ \hline \end{tabular} \][/tex]
The [tex]\( y \)[/tex]-values listed are 9, 0, -7, and -1.
The range of the function is the set of these [tex]\( y \)[/tex]-values:
[tex]\[ \{ y \mid y = -7, -1, 0, 9 \} \][/tex]
By comparing this with the given options, the correct choice is:
[tex]\[ \{ y \mid y = -7, -1, 0, 9 \} \][/tex]
