Answer:
OPTION A
OPTION C
Step-by-step explanation:
A relation becomes a function when it satisfies the following two conditions:
(i) Any element from the domain can only be mapped to only element in the co-domain.
(ii) No element in the domain should be left unmapped.
Note that an element in the co-domain need not have a pre - image.
OPTION A: Every element has an image and no element is mapped to two different elements on the co - domain. so, it is a function.
OPTION B: The element 9 is mapped to both 4 and 6. Condition (1) is not satisfied. So, it is not a function.
OPTION C: Both the conditions of a function are satisfied. So, OPTION C is a function. Note that the element 8 in the co - domain does not have a pre - image but it is still a function.
OPTION D: Element 1 in the domain is mapped to two elements. Violation of Condition (i). So, it is not a function.
