Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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)}


only A
only B
Both A and B
neither A or B

Sagot :

konrad509
It's only A, because for each x, there's only one y, unlike B where there are two values for x=4 and two for x=9.

Answer:

Option A is correct.

only set A is the ordered pairs represents a function.

Step-by-step explanation:

By the definition of a function, for each input there exists a unique output.

In particular, for each value of x there exists unique value of y.

In set A,

we have four ordered pair (1, -2) , (3, -5) , (5, 2) and (7, 5)

For each input value of x in set A,  there is a unique value of y in set A.

therefore, Set A is a function.

In set B,

we have four ordered pair (4, 2) , (4, -2), (9, 3) and (9, -3)

which means for x=4 , we have two values of y, i.,e 2 and -2

⇒ for a single value of x , there exist more than one value of y,

therefore set B is not a function


Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.