In this mapping diagram, a relation is considered a function if each element in the domain is mapped to exactly one element in the range.

Analysis of the Diagram:

• Domain values: $16, 20, 7, -10, -13, -18$
• Range values: $16, 14, 18, 7$

From the diagram:

1. $16 \rightarrow 16$
2. $20 \rightarrow 14$
3. $7 \rightarrow 18$
4. $-10 \rightarrow 18$
5. $-13 \rightarrow 7$
6. $-18 \rightarrow 14$

Each element in the domain is mapped to exactly one value in the range.

Conclusion:

This relation is a function, as every domain value corresponds to only one range value.

Would you like further explanation or have any other questions? Here are some related questions you might find helpful:

1. What are the characteristics of a function in mathematics?
2. Can a function have two domain elements mapping to the same range value?
3. How do vertical line tests relate to functions?
4. What are real-world examples of relations that are functions?
5. How is the concept of functions used in algebra and calculus?

Tip: Remember, in a function, no domain value can have more than one range value, but range values can be shared by multiple domain values.