I currently don't have the capability to view images. However, I can help you understand how to determine if a relation is a function based on a mapping diagram.
A relation is a function if every input (usually represented as x-values) is associated with exactly one output (y-value). In a mapping diagram:
- If any x-value points to more than one y-value, then the relation is not a function.
- If each x-value points to only one y-value, then the relation is a function.
You can apply this criterion to the diagram you're looking at. If you find any x-value that maps to multiple y-values, then choose Option #2 (the relation is not a function). If all x-values map to a single y-value, choose Option #1 (the relation is a function).
If you can describe the mapping, I can help you further!