Decisions with correct justification about the following relationship R: A → B is a function or not:

MATLAB: An Introduction with Applications
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Decisions with correct justification about the following relationship R: A → B is a function or not:

А — {а, b, с, d, е}, В — {1, 2, 3}
R%3D { (a, 1), (b, 3), (с, 2), (с, 3), (е, 2)}.
Transcribed Image Text:А — {а, b, с, d, е}, В — {1, 2, 3} R%3D { (a, 1), (b, 3), (с, 2), (с, 3), (е, 2)}.
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Concepts

Cartesian product:

Given two sets A and B (might not be distinct), the Cartesian product is defined as the set a,b aA and bB and is denoted by A×B.

Relation:

A relation R is a subset of A×B. It groups elements of A×B based on some rule into a set.

Function:

A function f is a special type of relation defined on A×B that satisfies the following properties:

  • for every xA, there exists a pair x, y∈ f
  • for each xA, there exists exactly one yB such that x, y∈ f

A is said to be the domain of f while B is called the co-domain of f.

 

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