Which set of ordered pairs does not represent a function?
Answer
Multiple Choice Answers
left curly bracket, left bracket, 2, comma, 1, right bracket, comma, left bracket, minus, 2, comma, minus, 7, right bracket, comma, left bracket, 4, comma, minus, 7, right bracket, comma, left bracket, minus, 7, comma, 8, right bracket, right curly bracket{(2,1),(−2,−7),(4,−7),(−7,8)}
left curly bracket, left bracket, minus, 2, comma, minus, 9, right bracket, comma, left bracket, minus, 2, comma, 5, right bracket, comma, left bracket, minus, 5, comma, minus, 7, right bracket, comma, left bracket, minus, 4, comma, minus, 2, right bracket, right curly bracket{(−2,−9),(−2,5),(−5,−7),(−4,−2)}
left curly bracket, left bracket, 1, comma, 1, right bracket, comma, left bracket, 4, comma, 6, right bracket, comma, left bracket, 2, comma, minus, 5, right bracket, comma, left bracket, 3, comma, 6, right bracket, right curly bracket{(1,1),(4,6),(2,−5),(3,6)}
left curly bracket, left bracket, 6, comma, minus, 8, right bracket, comma, left bracket, 3, comma, minus, 8, right bracket, comma, left bracket, minus, 9, comma, 1, right bracket, comma, left bracket, 1, comma, 9, right bracket, right curly bracket{(6,−8),(3,−8),(−9,1),(1,9)}
The set of ordered pairs that does not represent a function is:
left curly bracket, left bracket, minus, 2, comma, minus, 9, right bracket, comma, left bracket, minus, 2, comma, 5, right bracket, comma, left bracket, minus, 5, comma, minus, 7, right bracket, comma, left bracket, minus, 4, comma, minus, 2, right bracket, right curly bracket{(−2,−9),(−2,5),(−5,−7),(−4,−2)}
The set of ordered pairs that does not represent a function is:
left curly bracket, left bracket, minus, 2, comma, minus, 9, right bracket, comma, left bracket, minus, 2, comma, 5, right bracket, comma, left bracket, minus, 5, comma, minus, 7, right bracket, comma, left bracket, minus, 4, comma, minus, 2, right bracket, right curly bracket {(−2,−9),(−2,5),(−5,−7),(−4,−2)}
To determine which set of ordered pairs represents a function, we need to check if each x-value is paired with only one y-value.
For the first set of ordered pairs:
{(2,1),(−2,−7),(4,−7),(−7,8)}
- The x-value 2 is paired with the y-value 1.
- The x-value -2 is paired with the y-value -7.
- The x-value 4 is paired with the y-value -7.
- The x-value -7 is paired with the y-value 8.
This set of ordered pairs represents a function because each x-value has a unique y-value.
For the second set of ordered pairs:
{(−2,−9),(−2,5),(−5,−7),(−4,−2)}
- The x-value -2 is paired with both the y-values -9 and 5.
This set of ordered pairs does not represent a function because the x-value -2 is paired with multiple y-values.
For the third set of ordered pairs:
{(1,1),(4,6),(2,−5),(3,6)}
- Each x-value is paired with a unique y-value, so this set represents a function.
For the fourth set of ordered pairs:
{(6,−8),(3,−8),(−9,1),(1,9)}
- The x-value 3 is paired with the y-value -8.
- The x-value 6 is paired with the y-value -8.
This set of ordered pairs does not represent a function because the x-value 3 is paired with multiple y-values.
Therefore, the set of ordered pairs that does not represent a function is:
left curly bracket, left bracket, minus, 2, comma, minus, 9, right bracket, comma, left bracket, minus, 2, comma, 5, right bracket, comma, left bracket, minus, 5, comma, minus, 7, right bracket, comma, left bracket, minus, 4, comma, minus, 2, right bracket, right curly bracket{(−2,−9),(−2,5),(−5,−7),(−4,−2)}.