Types Of Functions
Chapter Name : Relations And Functions |
Sub Topic Code : 104_12_01_03_01 |
Topic Name : Types Of Functions |
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Sub Topic Name : Types Of Functions |
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Introduction
Functions are classified on the basis the mapping between range and domain set broadly as bijective, injective and surjective functions. Injective means one function, surjective means onto and biejctive is combination of surjective and injective.
Pre-Requisites:
Sets, their representation and its types, Cartesian products and relations.
Real Life Question:
Is it compulsory that all the elements in the range set are the image of the domain set?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Relation | Set of ordered pairs. |
| Function | Special type of relation that gives exactly one output for an input. |
| Ordered Pair | A pair of element grouped together in a particular order. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
It is mainly used to check whether a function is invertible or not.
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
How are the functions classified? What are the types of functions?