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]
