Which set of ordered pairs represents a function?

Question

Which set of ordered pairs represents a function?

Answer
Multiple Choice Answers
left curly bracket, left parenthesis, 8, comma, 7, right parenthesis, comma, left parenthesis, 8, comma, minus, 9, right parenthesis, comma, left parenthesis, minus, 7, comma, 8, right parenthesis, comma, left parenthesis, minus, 6, comma, 7, right parenthesis, right curly bracket{(8,7),(8,−9),(−7,8),(−6,7)}
left curly bracket, left parenthesis, minus, 1, comma, 9, right parenthesis, comma, left parenthesis, 5, comma, 4, right parenthesis, comma, left parenthesis, 4, comma, 0, right parenthesis, comma, left parenthesis, 4, comma, minus, 8, right parenthesis, right curly bracket{(−1,9),(5,4),(4,0),(4,−8)}
left curly bracket, left parenthesis, 4, comma, 3, right parenthesis, comma, left parenthesis, minus, 9, comma, 9, right parenthesis, comma, left parenthesis, minus, 8, comma, 2, right parenthesis, comma, left parenthesis, minus, 9, comma, minus, 7, right parenthesis, right curly bracket{(4,3),(−9,9),(−8,2),(−9,−7)}
left curly bracket, left parenthesis, 7, comma, minus, 6, right parenthesis, comma, left parenthesis, minus, 8, comma, minus, 5, right parenthesis, comma, left parenthesis, 2, comma, 7, right parenthesis, comma, left parenthesis, minus, 6, comma, 7, right parenthesis, right curly bracket{(7,−6),(−8,−5),(2,7),(−6,7)}

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To determine which set of ordered pairs represents a function, we need to check if any input (the first element of the ordered pair) maps to more than one output (the second element of the ordered pair). A function can only have one output for each input.

Set 1: {(8,7), (8,−9), (−7,8), (−6,7)}
- The input 8 has two different outputs: 7 and −9.
- Therefore, this set does not represent a function.
Set 2: {(−1,9), (5,4), (4,0), (4,−8)}
- The input 4 has two different outputs: 0 and −8.
- Therefore, this set does not represent a function.
Set 3: {(4,3), (−9,9), (−8,2), (−9,−7)}
- The input −9 has two different outputs: 9 and −7.
- Therefore, this set does not represent a function.
Set 4: {(7,−6), (−8,−5), (2,7), (−6,7)}
- All inputs (7, −8, 2, and −6) map to exactly one output.
- Therefore, this set represents a function.

From the analysis above, the correct answer is Set 4: {(7,−6), (−8,−5), (2,7), (−6,7)}.