Which set of ordered pairs does not represent a function?

Question

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

Answer 1

To determine which set of ordered pairs does not represent a function, we need to check if any of the sets have duplicate first elements (inputs) paired with different second elements (outputs).

1. Set 1: \({(6, -1), (1, -9), (6, -3), (-6, -5)}\)

   • The first element \(6\) is repeated with different second elements \(-1\) and \(-3\). This means it is not a function.

2. Set 2: \({(5, 5), (-5, 2), (4, 5), (1, 1)}\)

   • All first elements are unique. This is a function.

3. Set 3: \({(-5, 4), (3, -9), (5, -7), (4, 4)}\)

   • All first elements are unique. This is a function.

4. Set 4: \({(4, 1), (8, 6), (-5, -1), (-3, -6)}\)

   • All first elements are unique. This is a function.

The set that does not represent a function is the first set: \({(6, -1), (1, -9), (6, -3), (-6, -5)}\).