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Introduction to Functions and Relations
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Introduction to functions and relations. These documents will ensure a thorough and detailed explanation regarding this topic. The documents were created to make the topic easy to understand.

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  • November 20, 2021
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  • 2021/2022
  • Interview
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RELATIONS AND FUNCTIONS

Definition:

A RELATION is a rule that associates elements of one set of numbers with elements of
another set.

e.g. Here the relation is: "squared"


1 1

2 4

3 9

This kind of representation of a relation is called a "Mapping Diagram".

The Components of a Relation

A RELATION can be thought of as having 3 components.

1. An INPUT set (the "DOMAIN") of independently chosen elements.
2. An OUTPUT set (the "RANGE") of whose elements which depend on the domain
values.
3. A RULE for transforming the members of the domain into the members of the
range.

domai RULE rang
n e



Other ways of representing relations are:

1. A table:
natural multiples of
numbers three
1 3
2 6
3 9
4 12 The Rule is:
5 15

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