The mapping diagram shows that each element in Set A (the input) is connected to one or more elements in Set B (the output).

A relation is a function if each input is associated with exactly one output. If any input is associated with more than one output, the relation does not represent a function.

Looking at the diagram:

• The input $-4$ is connected to both $0$ and $2$.
• The input $5$ is connected to both $-1$ and $1$.

Since there are inputs with multiple outputs, this does not represent a function.

Hence, the correct answer is:

• "The mapping diagram above does NOT represent a function since for each number in Set A (the input) there are multiple mappings to Set B (the output)."

Would you like further details on how to identify functions?

Here are 5 related questions for better understanding:

1. What defines a function in terms of mapping?
2. How can you quickly check if a mapping diagram represents a function?
3. What would happen if a function had the same output for different inputs?
4. Can you have a function where every input points to the same output?
5. How does the vertical line test relate to mapping diagrams?

Tip: Always remember that in a function, no single input can be assigned to more than one output!