Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

look at the relation below.

{(-2,4), (4,-2), (1,1), (1,-2), (0,1), (6,4)}

which order pair should be removed for the set of points to be a function?

a) (-2,4)
b) (0,1)
c) (1,-2)
d) (6,4)

Sagot :

absor201

Answer:

If we remove one ordered pair (1, -2) then the set of points would represent a function.

Hence, option C i.e. (1, -2) is correct.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the relation

{(-2,4), (4,-2), (1,1), (1,-2), (0,1), (6,4)}

If we closely check, we can observe that the input x = 1 is repeated twice.

In other words, there are two ordered pairs (1, 1) and (1, -2) with the same input x = 1. So, x = 1 is duplicated here.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, if we remove one ordered pair (1, -2) then the set of points would represent a function.

Hence, option C i.e. (1, -2) is correct.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.