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I see that you've uploaded a worksheet titled "Domain, Range, & Functions." The sheet includes several tasks, such as determining the domain and range of various relations.

Let's walk through some examples to confirm your work or help with questions:

### For the first section:
- **Problem 1**:
  Relation: \[(0,1), (2,4), (4,7), (9,1)\]  
  - **Domain**: {0, 2, 4, 9}  
  - **Range**: {1, 4, 7}
  
  Your answers look good!

- **Problem 2**:
  Relation: \[(1,2), (2,4), (3,1), (4,5), (7,9)\]  
  - **Domain**: {1, 2, 3, 4, 7}  
  - **Range**: {1, 2, 4, 5, 9}  
  
  Also correct!

The rest of the problems seem similarly completed. If you'd like, I can assist with the remaining problems or verify the other answers.

### For the second section (relation tables and graphs):
Each table or graph represents pairs \((x, y)\). You will need to:
- Write the set of ordered pairs \((x, y)\),
- Identify the domain (the set of all x-values),
- Identify the range (the set of all y-values).

I can help walk through these as well, or if there is a specific question you need clarification on, feel free to point it out.

Would you like me to go over any specific question or provide further details?

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### 5 Follow-up Questions:
1. Can you explain how the domain and range differ when the relation is shown on a graph versus a table?
2. What are the key characteristics of a function, and how do they relate to the domain and range?
3. How would you identify whether a relation is a function based on its ordered pairs?
4. Could a range ever contain the same value more than once? If so, in what case?
5. How does the vertical line test help in determining if a relation is a function?

### Tip:
To find the domain, remember that it's always the set of all possible x-values, and the range is the set of all possible y-values. Always list the values without repeating them!

Determine the domain and range of relations from sets of ordered pairs and graphs.

Learn how to determine the domain and range from ordered pairs and graphs. This worksheet helps students in Grades 6-8 understand key concepts in relations, domain, and range.

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