https://file.aiquickdraw.com/mathbot/file/1725906090944elt31y1h.jpg

The diagram you provided shows a mapping between elements of the domain and the range. To determine if this represents a function, we need to check whether each element of the domain is paired with exactly one element in the range.

A function requires that every input (domain element) is associated with **one and only one output** (range element). If a domain element is mapped to multiple range elements, it is not a function.

### Analysis:
- **0** is mapped to **-2**.
- **3** is mapped to **-1** and **0** (this violates the rule of a function, as 3 is mapped to two different values).
- **6** is mapped to **-1**.

Since **3** is mapped to two different values in the range (both **-1** and **0**), this mapping **is not a function**.

Would you like to ask more questions about this topic? Here are some you might find helpful:

1. What is the definition of a function in mathematical terms?
2. How can we tell if a set of ordered pairs represents a function?
3. What is the difference between the domain and range of a function?
4. How can we graphically represent functions?
5. What are common examples of functions in real-life scenarios?

**Tip**: A function must have each input (domain element) paired with exactly one output (range element). Check mappings carefully for multiple arrows coming from a single domain element!

Determine whether the mapping between the domain {0, 3, 6} and range {-2, -1, 0} represents a function.

Learn how to determine whether a mapping between the domain {0, 3, 6} and range {-2, -1, 0} is a function. This problem covers the key concept of a function, analyzing whether each domain element is paired with exactly one range element. Suitable for students in Grades 7-10.

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