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Which set of ordered pairs represents a function?
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left curly bracket, left parenthesis, 4, comma, 3, right parenthesis, comma, left parenthesis, minus, 5, comma, minus, 5, right parenthesis, comma, left parenthesis, 4, comma, 6, right parenthesis, comma, left parenthesis, minus, 2, comma, 8, right parenthesis, right curly bracket{(4,3),(−5,−5),(4,6),(−2,8)}
left curly bracket, left parenthesis, 0, comma, minus, 8, right parenthesis, comma, left parenthesis, minus, 7, comma, 3, right parenthesis, comma, left parenthesis, minus, 2, comma, 9, right parenthesis, comma, left parenthesis, minus, 7, comma, minus, 9, right parenthesis, right curly bracket{(0,−8),(−7,3),(−2,9),(−7,−9)}
left curly bracket, left parenthesis, minus, 5, comma, 5, right parenthesis, comma, left parenthesis, minus, 9, comma, minus, 2, right parenthesis, comma, left parenthesis, minus, 1, comma, 5, right parenthesis, comma, left parenthesis, 3, comma, minus, 9, right parenthesis, right curly bracket{(−5,5),(−9,−2),(−1,5),(3,−9)}
left curly bracket, left parenthesis, 0, comma, 1, right parenthesis, comma, left parenthesis, minus, 8, comma, minus, 5, right parenthesis, comma, left parenthesis, 9, comma, 7, right parenthesis, comma, left parenthesis, 9, comma, minus, 5, right parenthesis, right curly bracket{(0,1),(−8,−5),(9,7),(9,−5)}

In order for a set of ordered pairs to represent a function, **each input (the x-coordinate) must correspond to exactly one output (the y-coordinate)**. This means that no two ordered pairs can have the same first element (input) with different second elements (outputs).

Let’s analyze each option:

1. **{(4,3), (−5,−5), (4,6), (−2,8)}**  
   - The input **4** appears twice with different outputs: (4, 3) and (4, 6).  
   - This set does **not** represent a function.

2. **{(0,−8), (−7,3), (−2,9), (−7,−9)}**  
   - The input **−7** appears twice with different outputs: (−7, 3) and (−7, −9).  
   - This set does **not** represent a function.

3. **{(−5,5), (−9,−2), (−1,5), (3,−9)}**  
   - Each input has a unique output.  
   - This set **represents a function**.

4. **{(0,1), (−8,−5), (9,7), (9,−5)}**  
   - The input **9** appears twice with different outputs: (9, 7) and (9, −5).  
   - This set does **not** represent a function.

### Correct Answer:  
The set of ordered pairs that represents a function is **{(−5,5), (−9,−2), (−1,5), (3,−9)}**.

Would you like more details or have any other questions?

Here are some related questions for further practice:
1. What is the definition of a function in mathematics?
2. How can you tell if a set of points on a graph represents a function?
3. Can a function have two different y-values for the same x-value?
4. What is the vertical line test and how does it relate to functions?
5. How do you find the domain and range of a function?

**Tip:** When checking if a set of ordered pairs represents a function, focus on ensuring that no x-value repeats with different y-values.

Which set of ordered pairs represents a function?

Learn how to determine which set of ordered pairs represents a function by checking if each input corresponds to exactly one output. Understand the mathematical definition of a function and apply it to different sets of ordered pairs. This concept is vital for students in Grades 8-10.

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