Question

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

Answer 1

A set of ordered pairs represents a function if each input (the first component of each ordered pair) is associated with exactly one output (the second component). To determine which set of ordered pairs does not represent a function, we need to look for any duplicate first components.

1. Set 1: \{(1,−8),(8,−2),(−7,−4),(−7,3)\}
- Input -7 is associated with two different outputs: -4 and 3.
- **This set does not represent a function.**

2. Set 2: \{(8,3),(−2,−8),(−5,−8),(−6,−5)\}
- All inputs (8, -2, -5, -6) are unique.
- **This set represents a function.**

3. Set 3: \{(−2,4),(9,−8),(1,−4),(−1,−4)\}
- All inputs (-2, 9, 1, -1) are unique.
- **This set represents a function.**

4. Set 4: \{(−8,−3),(−3,1),(6,−3),(4,0)\}
- All inputs (-8, -3, 6, 4) are unique.
- **This set represents a function.**

Therefore, the answer is **Set 1: {(1,−8),(8,−2),(−7,−4),(−7,3)}** which does not represent a function.