To solve this problem, we determine whether the given relation is a function by examining if each input is mapped to exactly one output.

Analysis

1. A function ensures that each input has only one unique output.
2. In the diagram:
   • -3 maps to 1.
   • 5 maps to 2.
   • 9 maps to both 6 and 7.
   • 16 maps to 7.

Conclusion

The relation is not a function, because the input 9 is mapped to two outputs (6 and 7). A function cannot have a single input associated with multiple outputs.

Would you like me to break down functions further or help with related questions? Here are five questions for further exploration:

1. What is the definition of a function in mathematics?
2. Can an output in a function have multiple inputs?
3. How do you determine if a set of points forms a function?
4. What is the significance of the vertical line test for functions?
5. How do real-world scenarios model functions effectively?

Tip: Always check whether any input is mapped to more than one output to identify if the relation is a function.