# Use a mapping diagram to determine whether the relation is a function. ​{(4​,5​), ​(1​,8​), ​(1​,9​), ​(9​,6​), ​(2​,13​), ​(4​,1​)} Which of the following mapping diagrams represents the​ relation?

Jun 16, 2018

Diagram C.

Not a function

#### Explanation:

Diagram C. is the correct mapping for this relation.

It is, however, not a function.

A relation can be called a function if each element of the domain is related to exactly one element in the range.

We see from the diagram that both $4$ and $1$ are related to two different elements.

Therefore, this relation is not a function.