Question

Which set of ordered pairs does not represent a function?
Answer
Multiple Choice Answers
left curly bracket, left parenthesis, minus, 6, comma, minus, 5, right parenthesis, comma, left parenthesis, 3, comma, 9, right parenthesis, comma, left parenthesis, minus, 2, comma, minus, 4, right parenthesis, comma, left parenthesis, 9, comma, minus, 3, right parenthesis, right curly bracket{(−6,−5),(3,9),(−2,−4),(9,−3)}
left curly bracket, left parenthesis, 8, comma, 8, right parenthesis, comma, left parenthesis, 4, comma, minus, 2, right parenthesis, comma, left parenthesis, 8, comma, 5, right parenthesis, comma, left parenthesis, 0, comma, 1, right parenthesis, right curly bracket{(8,8),(4,−2),(8,5),(0,1)}
left curly bracket, left parenthesis, minus, 7, comma, 9, right parenthesis, comma, left parenthesis, minus, 8, comma, 9, right parenthesis, comma, left parenthesis, minus, 9, comma, 8, right parenthesis, comma, left parenthesis, 9, comma, 5, right parenthesis, right curly bracket{(−7,9),(−8,9),(−9,8),(9,5)}
left curly bracket, left parenthesis, minus, 8, comma, 0, right parenthesis, comma, left parenthesis, minus, 6, comma, 0, right parenthesis, comma, left parenthesis, minus, 2, comma, 6, right parenthesis, comma, left parenthesis, 3, comma, minus, 8, right parenthesis, right curly bracket{(−8,0),(−6,0),(−2,6),(3,−8)}

Answer 1

To determine which set of ordered pairs does not represent a function, we need to check if any input (the first number in each ordered pair) is associated with more than one output (the second number in each ordered pair). A function cannot have two different outputs for the same input.

Let's analyze each set of ordered pairs:

1. **Set 1:** \{(-6, -5), (3, 9), (-2, -4), (9, -3)\}
- All inputs are unique: -6, 3, -2, and 9.
- This **is a function**.

2. **Set 2:** \{(8, 8), (4, -2), (8, 5), (0, 1)\}
- The input 8 appears twice with different outputs (8 and 5).
- This **is NOT a function**.

3. **Set 3:** \{(-7, 9), (-8, 9), (-9, 8), (9, 5)\}
- All inputs are unique: -7, -8, -9, and 9.
- This **is a function**.

4. **Set 4:** \{(-8, 0), (-6, 0), (-2, 6), (3, -8)\}
- All inputs are unique: -8, -6, -2, and 3.
- This **is a function**.

**Conclusion:** The set of ordered pairs that does not represent a function is **Set 2: \{(8, 8), (4, -2), (8, 5), (0, 1)\}**.