Answer: This represents a function
Step-by-step explanation: In this problem, we are given a relation in the form of a mapping diagram and we are asked if it represents a function. The easiest way to do this problem is first translate the mapping diagram into a list of ordered pairs.
Notice that the 1 is connected with the 40, the 2 is connected with the 80, the 3 is connected with the 120, the 4 is connected with the 160, and the 5 is connected to the 200. We can also represent this as followed.
{(1,40), (2,80), (3,120), (4,160), (5,200)}
Now to determine if the relation is a function, we can simply look at the x-coordinates of each ordered pair. Notice that all the coordinates we have are different so this means that this relation must be a function.
Therefore, the relation shown here is a function.
