Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To find the domain of the function shown in the table, we need to identify all the possible input values (x-values) for the function. The domain consists of all the x-values listed in the table. Let's examine the table:
\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
3 & -4 \\
\hline
5 & -3 \\
\hline
7 & 3 \\
\hline
9 & 4 \\
\hline
\end{tabular}
From the table, we observe that the x-values provided are 3, 5, 7, and 9.
Now let's match these x-values with the given options:
A. [tex]$\{-4,-3,3,4,5,7,9\}$[/tex] - This set includes y-values as well as x-values, so it's not correct.
B. [tex]$\{3,5,7,9\}$[/tex] - This set includes exactly the x-values from the table.
C. [tex]$\{-4,-3,3,4\}$[/tex] - This set includes y-values and does not cover all the x-values, so it's not correct.
D. [tex]$(3,-4),(5,-3),(7,3),(9,4)$[/tex] - This includes ordered pairs (x, y) instead of just the x-values, so it's not correct.
Therefore, the correct answer is:
B. [tex]$\{3, 5, 7, 9\}$[/tex]
\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
3 & -4 \\
\hline
5 & -3 \\
\hline
7 & 3 \\
\hline
9 & 4 \\
\hline
\end{tabular}
From the table, we observe that the x-values provided are 3, 5, 7, and 9.
Now let's match these x-values with the given options:
A. [tex]$\{-4,-3,3,4,5,7,9\}$[/tex] - This set includes y-values as well as x-values, so it's not correct.
B. [tex]$\{3,5,7,9\}$[/tex] - This set includes exactly the x-values from the table.
C. [tex]$\{-4,-3,3,4\}$[/tex] - This set includes y-values and does not cover all the x-values, so it's not correct.
D. [tex]$(3,-4),(5,-3),(7,3),(9,4)$[/tex] - This includes ordered pairs (x, y) instead of just the x-values, so it's not correct.
Therefore, the correct answer is:
B. [tex]$\{3, 5, 7, 9\}$[/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.