Answered

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\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
-6 & -7 \\
\hline
-1 & 1 \\
\hline
0 & 9 \\
\hline
3 & -2 \\
\hline
\end{tabular}

What is the domain of the given function?

A. [tex]$\{x \mid x=-6,-1,0,3\}$[/tex]

B. [tex]$\{y \mid y=-7,-2,1,9\}$[/tex]

C. [tex]$\{x \mid x=-7,-6,-2,-1,0,1,3,9\}$[/tex]

D. [tex]$\{y \mid y=-7,-6,-2,-1,0,1,3,9\}$[/tex]

Sagot :

GinnyAnswer
To determine the domain of the given function, we need to identify all the possible \( x \) values for which the function is defined.

Given the table:

[tex]\[ \begin{tabular}{|c|c|} \hline [tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
-6 & -7 \\
\hline
-1 & 1 \\
\hline
0 & 9 \\
\hline
3 & -2 \\
\hline
\end{tabular}
\][/tex]

The \( x \) values provided in the table are \(-6\), \(-1\), 0, and 3. These are the inputs for the function, each paired with a corresponding \( y \) value (the output).

The domain of a function is the set of all possible input values (\( x \)) for which the function is defined. Therefore, the domain of the given function is the set of all \( x \) values that appear in the table.

Thus, the domain of the given function is [tex]\(\{x \mid x=-6,-1,0,3\}\)[/tex].
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