Question

I need desperate help PLEASE!!!

Answer 1

Answer:

OPTION B

OPTION D

Step-by-step explanation:

An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.

These two conditions are satisfied to call a relation, a function.

Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.

A) {(3,7), (3,6), (5,4), (4,7)}

Here, the element '3' in the domain is mapped to two elements 7 and 6. So, it is not a function.

B) {(1,5), (3,5), (4, 6), (6,4)}

This is a function because all the elements in the domain have a unique image in the co-domain. So, this is a function.

C) {(2,3), (4,2), (4,6), (6,4)}

Here, the element '4' in the domain is again mapped to two different elements. Hence, it cannot be a function.

D) {(0,4), (3,2), (4,2), (6,5)}

This is again a function. Because the domain is mapped to unique elements. So, this is a function.