Determine which of the mapping diagrams represents a relation that is not a function.
In order to determine which of the mapping diagrams represents a relation that is not a function, we need to check if there are any elements in the domain that have more than one corresponding element in the range.
A function is a relation where each element in the domain is paired with exactly one element in the range.
Looking at the mapping diagrams, we see that:
- In mapping diagram (1), each element in the domain has exactly one corresponding element in the range. This is a function.
- In mapping diagram (2), each element in the domain has exactly one corresponding element in the range. This is a function.
- In mapping diagram (3), the element 'a' in the domain has two corresponding elements in the range. This is not a function.
- In mapping diagram (4), each element in the domain has exactly one corresponding element in the range. This is a function.
Therefore, the mapping diagram that represents a relation that is not a function is (3).