SweetSugar
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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 :

konrad509
{(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.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.