https://file.aiquickdraw.com/mathbot/file/1726764717681t2xiqx93.jpg

Looking at the image, we see two sets with elements connected by arrows, which represent a relation between the two sets. To determine if this relation is a function, we need to check whether each element from the first set is connected to **exactly one** element in the second set. In other words, a function assigns **one and only one output** (element in the second set) to each input (element in the first set).

In this case, the elements of the first set are:
- \(-1\)
- \(0\)
- \(1\)
- \(2\)

Each element of the first set is connected to exactly **one** element in the second set (no element in the first set is connected to multiple elements).

Thus, **this relation is a function**.

Would you like further details or have any additional questions?

Here are five related questions you might consider:
1. How do you determine if a relation is a one-to-one function?
2. Can a function have elements in the second set that are not used?
3. What is the difference between a function and a relation?
4. What are the characteristics of a bijection?
5. How can you represent this function as a set of ordered pairs?

**Tip**: In a function, no input (element in the domain) should have more than one output, but multiple inputs can have the same output.

This problem shows how to determine whether a relation between two sets represents a function. The key concept covered is the definition of a function, where each element of the first set must map to exactly one element in the second set. Suitable for students in Grades 8-10.

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