Which relation is a function?
	A.	(8, –4), (8, 4), (6, –3), (6, 3), (0, 0)
	B.	(4, 7), (8, 5), (6, 4), (5, 3), (4, 2)
	C.	(0, 0), (1, 1), (2, 2), (3, 3), (4, 7)
	D.	(0, 0), (1, 0), (1, 1), (2, 1), (1, 2)

To determine which relation is a function, we need to check if each input (x-value) is associated with exactly one output (y-value). A relation is a function if no x-value repeats with different y-values.

Let's analyze each option:

**A.** (8, –4), (8, 4), (6, –3), (6, 3), (0, 0)  
- The x-value 8 is paired with both –4 and 4.
- The x-value 6 is paired with both –3 and 3.
- This relation is **not** a function because the x-values 8 and 6 repeat with different y-values.

**B.** (4, 7), (8, 5), (6, 4), (5, 3), (4, 2)  
- The x-value 4 is paired with both 7 and 2.
- This relation is **not** a function because the x-value 4 repeats with different y-values.

**C.** (0, 0), (1, 1), (2, 2), (3, 3), (4, 7)  
- Each x-value is unique and paired with only one y-value.
- This relation **is** a function.

**D.** (0, 0), (1, 0), (1, 1), (2, 1), (1, 2)  
- The x-value 1 is paired with 0, 1, and 2.
- This relation is **not** a function because the x-value 1 repeats with different y-values.

### Conclusion:
The correct answer is **C.** (0, 0), (1, 1), (2, 2), (3, 3), (4, 7) because it meets the requirement that each x-value has a unique y-value.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you identify a function from a set of ordered pairs?
2. What is the vertical line test and how does it relate to functions?
3. Can a relation with repeated y-values still be a function?
4. How do you determine the domain and range of a function?
5. What are examples of real-life situations modeled by functions?

**Tip:** Remember, a function maps each input to exactly one output. If an input repeats with different outputs, it's not a function!

Which relation is a function?
A. (8, –4), (8, 4), (6, –3), (6, 3), (0, 0)
B. (4, 7), (8, 5), (6, 4), (5, 3), (4, 2)
C. (0, 0), (1, 1), (2, 2), (3, 3), (4, 7)
D. (0, 0), (1, 0), (1, 1), (2, 1), (1, 2)

Learn how to identify which relations are functions from a set of ordered pairs. Analyze the key concept that each x-value must map to only one y-value. Suitable for students in Grades 8-10.

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