To find the range of the function given in the table, we need to determine the set of all possible y-values that the function produces. Let's follow these steps:
1. List the y-values:
The table provides us with the following y-values for each corresponding x-value:
[tex]\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
1 & 2 \\
\hline
2 & 4 \\
\hline
3 & 3 \\
\hline
4 & 2 \\
\hline
\end{array}
\][/tex]
2. Identify all distinct y-values:
From the table, the y-values are 2, 4, 3, and 2. We need to identify all distinct values among these y-values. The distinct y-values are 2, 4, and 3.
3. Create the set of distinct y-values:
The set of all distinct y-values is {2, 3, 4}.
Thus, the range of the function is the set of all distinct y-values, which is [tex]\(\{2, 3, 4\}\)[/tex].
The correct answer is:
D. [tex]\(\{2, 3, 4\}\)[/tex]
