Determine whether the relation is a​ function, and give the domain and range.
24
8
4
13
15

To determine whether a relation is a function, we need to know if each input (domain) is associated with exactly one output (range). In the given problem, it appears that only values are provided without a clear relation between them. Therefore, we need to clarify the nature of the relation.

Assuming these numbers represent outputs associated with some inputs, we can't definitively determine if it's a function without knowing the inputs. Let's assume the given numbers are part of an ordered pair relation, such as:

\[ \{ (x_1, 24), (x_2, 8), (x_3, 4), (x_4, 13), (x_5, 15) \} \]

We need to verify that each input \( x \) maps to exactly one output \( y \).

### Domain and Range:
1. **Domain**: The set of all possible inputs \( x \). Without specific inputs given, we can only say that the domain is \( \{ x_1, x_2, x_3, x_4, x_5 \} \).
2. **Range**: The set of all possible outputs \( y \). Given the numbers provided:
   - Range: \( \{ 24, 8, 4, 13, 15 \} \)

### Checking if it's a Function:
- Since each \( x \) must map to exactly one \( y \), if we assume no repeated \( x \) values, this relation is a function. If any input \( x \) maps to more than one \( y \), it is not a function.

However, based on the given numbers, there is no indication of repeated values or multiple mappings. Therefore, **assuming unique inputs**, the relation can be considered a function.

### Summary:
- **Relation**: Function (assuming unique inputs)
- **Domain**: \( \{ x_1, x_2, x_3, x_4, x_5 \} \)
- **Range**: \( \{ 24, 8, 4, 13, 15 \} \)

Would you like to provide additional information or clarify the inputs? If you have any questions or need more details, please let me know.

### Relative Questions:
1. What is a mathematical function, and how is it defined?
2. How do you determine the domain of a function?
3. How do you determine the range of a function?
4. What is the difference between a function and a relation?
5. Can a function have the same output for different inputs?
6. How can we visually represent a function using a graph?
7. What are some examples of common mathematical functions?
8. How does the vertical line test help determine if a graph represents a function?

### Tip:
When analyzing functions, always ensure that each input value maps to exactly one output value to meet the definition of a function.

Learn how to determine if a relation is a function and analyze its domain and range. This problem involves identifying whether each input maps to exactly one output and defines the domain and range based on provided data points. Suitable for high school students studying functions and mathematical relations.

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