To determine if the relation represented by the mapping diagram is a function, we need to check the definition of a function. A relation is considered a function if every input (or element from the domain) is associated with exactly one output (or element from the range).
From your mapping, we have:
- 12 maps to –18
- 14 maps to –19
- 10 maps to 3
Each element in the domain (12, 14, and 10) is associated with only one output in the range. Therefore, there are no inputs that map to multiple outputs.
Since every input corresponds to exactly one output, this relation is a function.