hich set of ordered pairs represents a function?
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left curly bracket, left parenthesis, 8, comma, minus, 5, right parenthesis, comma, left parenthesis, 2, comma, 9, right parenthesis, comma, left parenthesis, 5, comma, 9, right parenthesis, comma, left parenthesis, 5, comma, minus, 1, right parenthesis, right curly bracket{(8,−5),(2,9),(5,9),(5,−1)}
left curly bracket, left parenthesis, 8, comma, minus, 7, right parenthesis, comma, left parenthesis, 4, comma, 7, right parenthesis, comma, left parenthesis, 2, comma, minus, 6, right parenthesis, comma, left parenthesis, 4, comma, minus, 1, right parenthesis, right curly bracket{(8,−7),(4,7),(2,−6),(4,−1)}
left curly bracket, left parenthesis, 4, comma, 6, right parenthesis, comma, left parenthesis, minus, 8, comma, 4, right parenthesis, comma, left parenthesis, minus, 7, comma, 4, right parenthesis, comma, left parenthesis, 3, comma, 9, right parenthesis, right curly bracket{(4,6),(−8,4),(−7,4),(3,9)}
left curly bracket, left parenthesis, minus, 4, comma, 0, right parenthesis, comma, left parenthesis, 1, comma, 2, right parenthesis, comma, left parenthesis, minus, 3, comma, minus, 5, right parenthesis, comma, left parenthesis, 1, comma, 8, right parenthesis, right curly bracket{(−4,0),(1,2),(−3,−5),(1,8)}
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To determine which set of ordered pairs represents a function, we must check whether each input (the first element of the ordered pair) corresponds to **only one output** (the second element). A function cannot have the same input associated with multiple outputs.

Let's review each set:

1. **Set 1: {(8, −5), (2, 9), (5, 9), (5, −1)}**
   - The input 5 is associated with two different outputs (9 and −1), so this is **not a function**.

2. **Set 2: {(8, −7), (4, 7), (2, −6), (4, −1)}**
   - The input 4 is associated with two different outputs (7 and −1), so this is **not a function**.

3. **Set 3: {(4, 6), (−8, 4), (−7, 4), (3, 9)}**
   - Each input corresponds to exactly one output. This is a **function**.

4. **Set 4: {(−4, 0), (1, 2), (−3, −5), (1, 8)}**
   - The input 1 is associated with two different outputs (2 and 8), so this is **not a function**.

Thus, **Set 3** represents a function.

### Answer: Set 3 {(4, 6), (−8, 4), (−7, 4), (3, 9)}

Do you need more details or have any questions?

### Related Questions:
1. What is the definition of a function in terms of ordered pairs?
2. How can you identify if a set of ordered pairs is not a function?
3. What is the difference between a function and a relation?
4. How would you graph the ordered pairs in Set 3 to visualize the function?
5. Can a function have the same output for different inputs?

### Tip: A function assigns exactly one output for every input, but different inputs can share the same output.

Which set of ordered pairs represents a function? Multiple Choice: {(8,−5),(2,9),(5,9),(5,−1)}, {(8,−7),(4,7),(2,−6),(4,−1)}, {(4,6),(−8,4),(−7,4),(3,9)}, {(−4,0),(1,2),(−3,−5),(1,8)}

Learn how to identify whether a set of ordered pairs represents a function. This problem explores key concepts of functions and relations, including a step-by-step solution. Set 3 {(4,6), (−8,4), (−7,4), (3,9)} is the correct answer, as it meets the criteria of a function. Suitable for students in Grades 6-8.

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