Which set of ordered pairs represents a function?
Answer
Multiple Choice Answers
left curly bracket, left bracket, 8, comma, minus, 6, right bracket, comma, left bracket, minus, 9, comma, 1, right bracket, comma, left bracket, minus, 9, comma, minus, 9, right bracket, comma, left bracket, 6, comma, 3, right bracket, right curly bracket{(8,−6),(−9,1),(−9,−9),(6,3)}
left curly bracket, left bracket, 4, comma, 5, right bracket, comma, left bracket, minus, 7, comma, 3, right bracket, comma, left bracket, 6, comma, 6, right bracket, comma, left bracket, 6, comma, 9, right bracket, right curly bracket{(4,5),(−7,3),(6,6),(6,9)}
left curly bracket, left bracket, 0, comma, minus, 6, right bracket, comma, left bracket, minus, 1, comma, minus, 8, right bracket, comma, left bracket, minus, 6, comma, minus, 5, right bracket, comma, left bracket, 6, comma, minus, 5, right bracket, right curly bracket{(0,−6),(−1,−8),(−6,−5),(6,−5)}
left curly bracket, left bracket, minus, 6, comma, minus, 8, right bracket, comma, left bracket, 5, comma, minus, 7, right bracket, comma, left bracket, minus, 1, comma, minus, 3, right bracket, comma, left bracket, 5, comma, minus, 4, right bracket, right curly bracket{(−6,−8),(5,−7),(−1,−3),(5,−4)}
The set of ordered pairs that represents a function is:
{(4,5),(−7,3),(6,6),(6,9)}
The first set of ordered pairs represents a function:
{(8,-6), (-9,1), (-9,-9), (6,3)}
To determine which set of ordered pairs represents a function, we need to check if each input value (x-coordinate) has a unique output value (y-coordinate).
For the first set of ordered pairs {(8,-6), (-9,1), (-9,-9), (6,3)}, we can see that the input value -9 has two different output values (-9 and 1), which violates the definition of a function. Therefore, this set does not represent a function.
For the second set of ordered pairs {(4,5), (-7,3), (6,6), (6,9)}, each input value has a unique output value, so this set does represent a function.
For the third set of ordered pairs {(0,-6), (-1,-8), (-6,-5), (6,-5)}, each input value has a unique output value, so this set also represents a function.
For the fourth set of ordered pairs {(-6,-8), (5,-7), (-1,-3), (5,-4)}, each input value has a unique output value, so this set represents a function.
Therefore, the set of ordered pairs that represents a function is the second set, {(4,5), (-7,3), (6,6), (6,9)}.