Which set of ordered pairs does not represent a function?
Answer
Multiple Choice Answers
left curly bracket, left bracket, minus, 3, comma, 9, right bracket, comma, left bracket, 1, comma, 5, right bracket, comma, left bracket, 9, comma, minus, 8, right bracket, comma, left bracket, 6, comma, 1, right bracket, right curly bracket{(−3,9),(1,5),(9,−8),(6,1)}
left curly bracket, left bracket, 9, comma, minus, 2, right bracket, comma, left bracket, minus, 3, comma, 7, right bracket, comma, left bracket, 0, comma, minus, 4, right bracket, comma, left bracket, minus, 3, comma, 3, right bracket, right curly bracket{(9,−2),(−3,7),(0,−4),(−3,3)}
left curly bracket, left bracket, 4, comma, minus, 1, right bracket, comma, left bracket, minus, 3, comma, 1, right bracket, comma, left bracket, 6, comma, minus, 7, right bracket, comma, left bracket, 7, comma, minus, 1, right bracket, right curly bracket{(4,−1),(−3,1),(6,−7),(7,−1)}
left curly bracket, left bracket, 6, comma, minus, 4, right bracket, comma, left bracket, 3, comma, 3, right bracket, comma, left bracket, minus, 3, comma, minus, 7, right bracket, comma, left bracket, minus, 2, comma, minus, 4, right bracket, right curly bracket{(6,−4),(3,3),(−3,−7),(−2,−4)}
A set of ordered pairs represents a function if each input (the first number in each ordered pair) maps to exactly one output (the second number in each ordered pair). If an input is associated with more than one output, then the set does not represent a function.
Let's look at the sets of ordered pairs one by one:
1. {(-3,9), (1,5), (9,-8), (6,1)}
This set has distinct inputs (-3, 1, 9, 6) with their corresponding outputs. Since no input value is repeated, this set represents a function.
2. {(9,-2), (-3,7), (0,-4), (-3,3)}
In this set, the input -3 is associated with two different outputs (7 and 3). This violates the definition of a function. Therefore, this set does not represent a function.
3. {(4,-1), (-3,1), (6,-7), (7,-1)}
All inputs (4, -3, 6, 7) have different outputs. This set represents a function.
4. {(6,-4), (3,3), (-3,-7), (-2,-4)}
Each of the inputs (6, 3, -3, -2) has a unique output. Hence, this set represents a function.
The correct answer is the set that does not represent a function:
{ (9,−2), (-3,7), (0,−4), (-3,3) }