Which set of ordered pairs does not represent a function?
Answer
Multiple Choice Answers
left curly bracket, left bracket, minus, 9, comma, minus, 4, right bracket, comma, left bracket, minus, 2, comma, minus, 6, right bracket, comma, left bracket, 4, comma, minus, 3, right bracket, comma, left bracket, minus, 6, comma, minus, 6, right bracket, right curly bracket{(−9,−4),(−2,−6),(4,−3),(−6,−6)}
left curly bracket, left bracket, 7, comma, 9, right bracket, comma, left bracket, minus, 2, comma, minus, 7, right bracket, comma, left bracket, 2, comma, 6, right bracket, comma, left bracket, minus, 4, comma, 6, right bracket, right curly bracket{(7,9),(−2,−7),(2,6),(−4,6)}
left curly bracket, left bracket, minus, 3, comma, minus, 9, right bracket, comma, left bracket, minus, 8, comma, 7, right bracket, comma, left bracket, minus, 4, comma, minus, 9, right bracket, comma, left bracket, minus, 9, comma, minus, 6, right bracket, right curly bracket{(−3,−9),(−8,7),(−4,−9),(−9,−6)}
left curly bracket, left bracket, 4, comma, minus, 9, right bracket, comma, left bracket, 0, comma, 5, right bracket, comma, left bracket, 8, comma, 2, right bracket, comma, left bracket, 4, comma, minus, 8, right bracket, right curly bracket{(4,−9),(0,5),(8,2),(4,−8)}
A set of ordered pairs represents a function if each input (first coordinate of each ordered pair) is associated with exactly one output (second coordinate). If any input is associated with more than one output, the set does not represent a function.
Let's examine each set of ordered pairs:
1. {(−9,−4),(−2,−6),(4,−3),(−6,−6)} - All the first coordinates (inputs) are unique. This set represents a function.
2. {(7,9),(−2,−7),(2,6),(−4,6)} - All the first coordinates (inputs) are unique. This set represents a function.
3. {(−3,−9),(−8,7),(−4,−9),(−9,−6)} - All the first coordinates (inputs) are unique. This set represents a function.
4. {(4,−9),(0,5),(8,2),(4,−8)} - Here, the input '4' has two different outputs: −9 and −8. This set does not represent a function because an input has more than one output.
Therefore, the set that does not represent a function is the fourth one: {(4,−9),(0,5),(8,2),(4,−8)}.