Which set of ordered pairs does not represent a function?

Question

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

Answer 1

A set of ordered pairs represents a function if each first element (usually represented as the x-value) is associated with exactly one second element (y-value). This means there should be no first element that maps to more than one second element.

Now let's examine each set of ordered pairs to determine which one does not represent a function:

1. {(6,7), (−4,−5), (−1,7), (−9,−7)}
Each x-value is paired with one y-value, so this set does represent a function.

2. {(−6,1), (−9,−6), (6,7), (1,−8)}
Each x-value is paired with one y-value, so this set does represent a function.

3. {(5,9), (7,2), (1,6), (−6,9)}
Each x-value is paired with one y-value, so this set does represent a function.

4. {(−1,1), (4,−6), (−3,0), (−3,8)}
The x-value −3 is paired with two different y-values (0 and 8), so this set does not represent a function.

The correct answer is the last set of ordered pairs:
{(-1,1), (4,−6), (−3,0), (−3,8)}