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In the given relation, we have two sets: **Daughter** and **Letter**. The relation connects daughters to letters as follows:

- **Clara** → **Mark**
- **Darby** → **Hank**
- **Jenna** → **Ben**
- **Marie** → **Rubi**
- **Fiona** → **Ben**

### Domain and Range:

- **Domain**: The set of all inputs (daughters):
  \[ \{ \text{Clara, Darby, Jenna, Marie, Fiona} \} \]
  
- **Range**: The set of all outputs (letters):
  \[ \{ \text{Mark, Hank, Ben, Rubi} \} \]

### Is this a Function?

A relation is a function if each input (element of the domain) maps to exactly one output (element of the range). Here:
- Clara, Darby, Jenna, and Marie each have exactly one letter associated with them.
- Fiona and Jenna both map to **Ben**, but this is allowed since each input (daughter) still maps to only one output (letter).

Thus, **yes**, this relation represents a function because each daughter is associated with only one letter.

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Would you like more details or further explanations on any part? Here are five related questions to deepen your understanding:

1. What is the difference between a relation and a function?
2. Can a function have repeated elements in its range?
3. What would happen if one daughter mapped to two different letters?
4. How can you visually identify a function from a mapping diagram?
5. What are examples of real-life scenarios where functions are used?

**Tip**: Always check if each input has a unique output to determine if a relation is a function.

State the domain and range for the given relation, then determine whether the relation represents a function.

Learn how to identify the domain and range from a mapping diagram and determine whether the relation represents a function. This exercise is suitable for students in Grades 8-10 and covers key concepts in algebra, including functions, domain, and range.

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