Question

Which set of ordered pairs does not represent a function?

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

Answer 1

The set that does not represent a function is {(-2,4),(7,-2),(-2,5),(-4,-8)}, since the input -2 correlates with two different outputs, violating the definition of a function.

Step-by-step explanation:

The set of ordered pairs that does not represent a function is the set where an x-value (input) is paired with more than one y-value (output). Given the options, review each set of ordered pairs:

{(−6,1),(4,7),(1,−2),(8,5)} - This set has unique x-values for each pair, so it represents a function.

{(3,0),(−7,−2),(−2,−4),(0,−2)} - This set also has unique x-values, indicating a function.

{(1,−9),(0,−8),(2,−9),(6,8)} - Again, unique x-values here, so it's a function.

{(−2,4),(7,−2),(−2,5),(−4,−8)} - Here we have an x-value (−2) paired with two different y-values (4 and 5). This set does not satisfy the definition of a function.

So, the set {(−2,4),(7,−2),(−2,5),(−4,−8)} does not represent a function because a single input −2 maps to more than one output (4 and 5).