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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.

Determine whether the relation is a function based on the given domain and range table.

Learn how to determine if a relation is a function using a table of domain and range. This problem highlights the concept of functions, specifically focusing on ensuring that each input (domain) maps to exactly one output (range). Suitable for students in Grades 8-10.

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