# Www.le.ac.uk Introduction to functions Department of Mathematics University of Leicester.

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www.le.ac.uk Introduction to functions Department of Mathematics University of Leicester

Content FunctionsIntroductionFunctions as graphsWorking with functionsMappings

Introduction Functions Mappings Functions as graphs Working with functions Next Intro

Mappings Next Functions Mappings Functions as graphs Working with functions Intro

Domain & Range Next Functions Mappings Functions as graphs Working with functions Intro

Functions Next Functions Mappings Functions as graphs Working with functions Intro

One-to-one A mapping that maps one element to one element is called a one-to-one function. Next Functions Mappings Functions as graphs Working with functions Intro

Many-to-one A mapping that maps more than one element to one element is called a many-to-one function. Next Functions Mappings Functions as graphs Working with functions Intro

One-to-many A mapping that maps one element to one or more elements is not a function. Next Functions Mappings Functions as graphs Working with functions Intro

Question... Which of these is a many-to-one function? None of the above Functions Mappings Functions as graphs Working with functions Intro

Question... What is this: ? One-to-One One-to-ManyMany-to-One Functions Mappings Functions as graphs Working with functions Intro

Question... What is this: ? One-to-One One-to-ManyMany-to-One Functions Mappings Functions as graphs Working with functions Intro

Working with functions Next Functions Mappings Functions as graphs Working with functions Intro

Examples Next Functions Mappings Functions as graphs Working with functions Intro

Your turn 3 8 9 27 None of the above Functions Mappings Functions as graphs Working with functions Intro

Functions as graphs Next Functions Mappings Functions as graphs Working with functions Intro

Functions as graphs Domain Range Next Functions Mappings Functions as graphs Working with functions Intro

Functions as graphs Next Functions Mappings Functions as graphs Working with functions Intro

Functions as graphs Next Functions Mappings Functions as graphs Working with functions Intro

Functions as graphs Next Functions Mappings Functions as graphs Working with functions Intro

Question... Functions Mappings Functions as graphs Working with functions Intro What kind of mapping is this? One-to-0neOne-to-manyMany-to-one

Conclusion Functions Mappings Functions as graphs Working with functions Next Intro You should now be able to: Find the range and domain of a mapping. Categorise mappings (one-to-one, etc.) Do simple computations with functions. When you feel comfortable move on to composition of functions.

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