Question

Which of the sets of ordered pairs represents a function?

A = {(1, −2), (3, −5), (5, 2), (7, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}

Group of answer choices

Only A

Only B

Both A and B

Neither A nor B

Answer 1

Answer:

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Functions and Relations

A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.

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Answer 2

If the x or input values are different then the relation becomes a function. If the x or the input values are repeated and their corresponding y or output values are the same, then also the relation is a function whereas If the x or the input values are repeated and their corresponding y or output values are different, then the relation is not a function.

So as per the above A = {(1, −2), (3, −5), (5, 2), (7, 5)} is a function whereas B = {(4, 2), (4, −2), (9, 3), (9, −3)} is not a function.

So Only A is the correct answer.