Relations And Functions Practice Questions Ques9
Question: A function f: A → B is a relation from A to B where:
Options:
(A) Each element of A is paired with exactly one element of B
(B) Each element of B is paired with exactly one element of A
(C) Some elements of A may not be paired with any element of B
(D) All elements of A and B must be paired
Show Answer
Answer: A
Explanation:
(A) This is the correct definition of a function.
(B) This describes an injective function, but not all functions are injective.
(C) This violates the definition of a function, as all elements in A must be paired.
(D) This is not necessary for a function; some elements in B may not be paired.
BETA
