Select the correct answer.

Which of the following represents a function?

A. [tex]\{(0,1),(3,2),(-8,3),(-7,2),(3,4)\}[/tex]

B.

C.
\begin{tabular}{|c|c|c|c|c|c|}
\hline
[tex]$x$[/tex] & -5 & -1 & 9 & 8 & -1 \\
\hline
[tex]$y$[/tex] & 1 & 7 & 23 & 17 & 1 \\
\hline
\end{tabular}

D.



Answer :

To determine whether a given set of ordered pairs represents a function, we need to verify that each input value (x-value) is associated with exactly one output value (y-value). In other words, no x-value should be repeated with a different y-value.

Let's analyze option A:
[tex]\[ \{(0,1),(3,2),(-8,3),(-7,2),(3,4)\} \][/tex]

List the x-values:
[tex]\[ 0, 3, -8, -7, 3 \][/tex]

We observe that the x-value [tex]\(3\)[/tex] appears twice with different y-values [tex]\((3,2)\)[/tex] and [tex]\((3,4)\)[/tex]. This means that there is a repetition of an x-value with different associated y-values, violating the criterion for a function.

Therefore, option A does not represent a function.

The correct answer is:
[tex]\[ 0 \][/tex]