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Which of the sets of ordered pairs represents a function?


A = {(1, −5), (8, −5), (8, 7), (2, 9)}

B = {(7, −4), (7, −2), (6, −3), (−9, 5)}


Only A

Only B

Both A and B

Neither A nor B

Verified Answer :

Answer:

The correct option is 4. Neither A nor B represents a function.

Step-by-step explanation:

The given sets of ordered pairs are

\(A=\{(1,-5), (8,-5), (8,7), (2,9)\}\)

\(B=\{(7,-4), (7,-2), (6,-3), (-9,5)\}\)

A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.

In set A the value of y-coordinates are -5 and 7 at \(x=8\).

At x=8, there exist more than one value of y, so the set A is not a function.

In set B the value of y-coordinates are -4 and -2 at \(x=7\).

At x=7, there exist more than one value of y, so the set B is not a function.

Therefore neither A nor B represents a function and option 4 is correct.



Answer:

The answer is D, "Neither A or B."

Step-by-step explanation:

In most cases (including this one), there can only be one input or x-value for every unique output, or y-value. In other words, the x-values cannot repeat themselves. Both (8, -5) and (8, 7) are invalid in ordered pairs A, and (7, -4), and (7, -2) make ordered pairs B unable to represent a function. I also took this test and it was correct.

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