Question

Which of the following is true for the given arrow diagram?

Answer 1

A relation from one set to another is just a collection of ordered pairs.

Thus, the given arrow diagram clearly represents a relation.

A function is a special type of relation where each element of the domain is mapped to a single element in the codomain.

The element $a$ in $A$ has two distinct images, Austin and Ashland.

So, the given arrow diagram does not represent a function.

Thus, the arrow diagram represents only a relation not a function.

Note: The option 'Only a function and not a relation' is not true as a function is always a relation, though the opposite may not always be true.