Q. Look at this set of ordered pairs:(5,13)(5,14)(0,9)Is this relation a function?Choices:(A) yes(B) no
Define function and relation: A function is a relation where each input ( extit{x}-value) has exactly one output ( extit{y}-value). To determine if the given set of ordered pairs represents a function, we need to check if any extit{x}-value is associated with more than one extit{y}-value.
Check ordered pairs: Looking at the set of ordered pairs:(5,13)(5,14)(0,9)We can see that the x-value 5 is associated with two different y-values 13 and 14. This means that for the same input of 5, there are two different outputs, which violates the definition of a function.
Identify non-functionality: Since the x-value 5 has more than one y-value associated with it, the relation is not a function.