https://file.aiquickdraw.com/mathbot/file/1727343273294l5z8tca7.jpg

The question asks to identify which numbers are elements of the range of the given relation. The diagram shows a mapping of numbers from the left set (domain) to the right set (range).

The numbers on the left (domain) are: \(-3, -1, 1, 4, 5\).
The numbers on the right (range) are: \(-5, 0, 2, 6\).

By observing the arrows (mappings):
- \(-3\) maps to \(-5\)
- \(-1\) maps to \(0\)
- \(1\) maps to \(6\)
- \(4\) maps to \(2\)
- \(5\) maps to \(6\)

Therefore, the range (the set of elements that are mapped to from the domain) consists of \(-5, 0, 2, 6\).

Now, we check the options:
- \(A: -1\) → No, this is from the domain.
- \(B: 0\) → Yes, \(0\) is in the range.
- \(C: 2\) → Yes, \(2\) is in the range.
- \(D: 6\) → Yes, \(6\) is in the range.

Thus, the correct answer includes options \(B: 0\), \(C: 2\), and \(D: 6\).

Would you like more details on this solution, or have any questions?

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Here are five related questions you might consider:
1. What is the definition of the domain and range of a relation?
2. How do you represent a relation using a set of ordered pairs?
3. Can a number appear more than once in the range?
4. What is the difference between a relation and a function?
5. How can you determine if a relation is a function using a graph?

**Tip**: In a relation, a number from the domain can map to more than one element in the range, but each element in the range must be the result of a mapping from some element in the domain.

Which of the following numbers are elements of the range of the following relation?

Learn how to identify elements of the range in a given relation. This problem involves understanding domain and range, and how mappings between sets work. Suitable for students in Grades 6-8.

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