Answer:The arrow diagram represents a relation between two sets of data, but it does not provide enough information to determine whether it is a function or not. A function is a relation in which each element of the first set (the domain) is related to exactly one element of the second set (the range). In order to determine if the relation shown in the arrow diagram is a function, we need to know if each element in the domain corresponds to only one element in the range. From the arrow diagram we can not determine that.
As we have a set of ordered pairs (27,39), (31,27), (60,130), (45,67) and (123,180) and there is no repetition of the x-values (domain) or y-values (range) in the ordered pairs, we can say that the relation shown in the arrow diagram is a function.
Explanation: