Answered

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What is the domain of the function shown in the table?

| [tex]$x$[/tex] | [tex]$y$[/tex] |
|-----|-----|
| 3 | -4 |
| 5 | -3 |
| 7 | 3 |
| 9 | 4 |

A. [tex]$\{-4, -3, 3, 4, 5, 7, 9\}$[/tex]
B. [tex]$\{3, 5, 7, 9\}$[/tex]
C. [tex]$\{-4, -3, 3, 4\}$[/tex]
D. [tex]$(3, -4), (5, -3), (7, 3), (9, 4)$[/tex]

Sagot :

GinnyAnswer
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]
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