SweetSugaridn
Answered

IDNLearn.com is committed to providing high-quality answers to your questions. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

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 :

Konrad509idn
{(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.

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.