Given set A={1,2,3,4}, B={1,2,3,4), and the mapping f: A → B, where f={(1,1), (1,2), (2,1), (3,3), (4,4)}, which of the following are correct?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Given set A={1,2,3,4}, B={1,2,3,4}, and the mapping f: A → B. where f={(1,1), (1,2), (2,1), (3,3), (4,4)}, which of the following are correct?
The mapping f is a surjective function since every codomain is connected to a domain
The mapping f is a bijective function and it's inverse is a function.
The mapping f is not a function since not every element in B is mapped by some domain elements.
The mapping f is not a function since one element in the domain maps to multiple elements in the codomain
Transcribed Image Text:Given set A={1,2,3,4}, B={1,2,3,4}, and the mapping f: A → B. where f={(1,1), (1,2), (2,1), (3,3), (4,4)}, which of the following are correct? The mapping f is a surjective function since every codomain is connected to a domain The mapping f is a bijective function and it's inverse is a function. The mapping f is not a function since not every element in B is mapped by some domain elements. The mapping f is not a function since one element in the domain maps to multiple elements in the codomain
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