https://file.aiquickdraw.com/mathbot/file/1729785086420ztj6y3bt.jpg

Let's analyze these relations to determine whether they represent functions. 

### **Question 7**: \((3, 2), (1, 2), (4, 3), (6, -2)\)
- A relation is a **function** if each input (x-value) corresponds to exactly one output (y-value).
- The inputs (x-values) here are: \(3, 1, 4, 6\).
- All these x-values are unique, meaning no input is repeated.

**Conclusion for 7**: Yes, this relation is a function.

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### **Question 8**: \((-1, -1), (-2, -2), (-3, 2), (-2, 3)\)
- Let's list the inputs (x-values): \(-1, -2, -3, -2\).
- Notice that the input \(-2\) is repeated, but with two different outputs: \(-2\) and \(3\). 
- Since one input leads to two different outputs, this relation **is not a function**.

**Conclusion for 8**: No, this relation is not a function.

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Would you like more details about functions or need help with further concepts?

Here are 5 related questions:
1. What is the difference between a relation and a function?
2. How do you determine if a graph represents a function?
3. What is the vertical line test for functions?
4. Can a function have repeated outputs (y-values)?
5. How do domain and range relate to functions?

**Tip**: A function assigns each input exactly one output, but outputs (y-values) can be repeated.

Determine whether each relation is a function. 7. (3, 2), (1, 2), (4, 3), (6, -2) 8. (-1, -1), (-2, -2), (-3, 2), (-2, 3)

Learn how to determine if a set of coordinate pairs represents a function. Understand the key difference between a relation and a function using examples such as (3, 2), (1, 2), (4, 3), (6, -2) and (-1, -1), (-2, -2), (-3, 2), (-2, 3). Suitable for students in Grades 8-10.

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