For every element r in A, there is an element y in B such that (x, y) is in F.Can you please explain why this is differ from a relation? No proof please ! Just a couple sentences of answers!! FunctionsIn Section 1.2 we showed that ordered pairs can be defined in terms of sets and we definedCartesian products in terms of ordered pairs. In this section we introduced relations as subsetsof Cartesian products. Thus we can now define functions in a way that depends only on theconcept of set. Although this definition is not obviously related to the way we usually workwith functions in mathematics, it is satisfying from a theoretical point of view, and computerscientists like it because it is particularly well suited for operating with functions on a computer.DefinitionA function F from a set A to a set B is a relation with domain A and co-domain Bthat satisfies the following two properties:1. For every element x in A, there is an element y in B such that (x, y) E F.

Relation: The relation from a set A to a set B is a subset of Cartesian product A×B. Function: The…

Answered: For every element r in A, there is an…

For every element r in A, there is an element y in B such that (x, y) is in F. Can you please explain why this is differ from a relation? No proof please ! Just a couple sentences of answers!!

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 44E

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Question

For every element r in A, there is an element y in B such that (x, y) is in F. Can you please explain why this is differ from a relation? No proof please ! Just a couple sentences of answers!!