Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

1. Which relation is a function?
(Points : 4)
{(1, 2); (2, 3); (3, 4); (1, 5)}
{(1, 2); (1, 3); (1, 4); (1, 5)}
{(1, 2); (2, 3); (3, 4); (2, 5)}
{(1, 2); (2, 2); (3, 2); (4, 2)}


Sagot :

{(1, 2); (2, 2); (3, 2); (4, 2)}  because for each x, there's only one corresponding y.

Answer:

The correct option is 4.

Step-by-step explanation:

A relation is called a function if there exist a unique value of y for each value of x.

If means if a relation is defined as (x,y), then for each value of x there exist a unique value of y.

In option 1, at x=1, the values of y are 2 and 5.

Since there exist more than one values of y for a single value of x, therefore option 1 is incorrect.

In option 2, at x=1, the values of y are 2, 3, 4 and 5.

Since there exist more than one values of y for a single value of x, therefore option 2 is incorrect.

In option 3, at x=2, the values of y are 3 and 5.

Since there exist more than one values of y for a single value of x, therefore option 3 is incorrect.

In option 4, for each value of x, there exist single value of y, therefore option 4 is correct.

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.