The mapping diagram above does NOT represent a function since there is one number in Set A (the input) where there are multiple mappings from Set A (the input) to Set B (the output).

Explanation:

In order for a relation to be a function, each input (from Set A) must map to exactly one output (in Set B). If any input in Set A maps to more than one output, the relation is not a function.

Would you like to go over the details of this or have any further questions?

Here are 5 related questions to explore:

1. What is the formal definition of a function in terms of sets and mappings?
2. How can you visually verify a function using a mapping diagram?
3. Can a function have multiple inputs mapping to the same output? Explain.
4. What is the difference between a relation and a function?
5. How does the vertical line test help in identifying functions?

Tip: Always ensure that for a relation to be a function, each input has exactly one output; no input can have more than one mapping.