Hello!
A set of ordered pairs can be defined as a function if each x-value corresponds to only one y-value. In other words, if the set contains two or more of the same x-value, then it will not be considered a function.
Let's start by analyzing the first set of data points:
A. (1,1),(2,3),(1,5),(4,7)
This set of values is not a function because of points (1,1) and (1,5). This tells us that "x" corresponds to a y-value of both (1) and (5). Therefore, A is not a valid answer. Now we'll do the same for the second set of data points:
B. (2,4),(3,9),(4,16),(5,25)
This set could be considered a function because it does not contain any repeating x-values. Therefore, B is a valid answer.
After analyzing the two remaining options in the same way as described above, we can confirm that they are not functions. Therefore, the correct answer is B.
I hope this helps!