To determine whether this relation is a function, we need to check if each input (from the domain) maps to exactly one output (in the range).

In the table, we have the following pairs:

• $7 \rightarrow 2$
• $7 \rightarrow -7$
• $7 \rightarrow 7$
• $0 \rightarrow 5$

Notice that the input "7" is associated with multiple outputs (2, -7, 7). This violates the definition of a function, which requires that each input in the domain must map to exactly one output in the range.

Thus, this relation is not a function.

Would you like further explanation or details on functions?

Here are 5 related questions for you:

1. What is the definition of a function in mathematics?
2. Can a function have the same output for different inputs?
3. How does the vertical line test help determine if a relation is a function?
4. What is the difference between domain and range in a function?
5. How would this relation change if each domain value mapped to only one range value?

Tip: When checking if a relation is a function, always ensure that no input is mapped to more than one output.