Relations and Functions Class 12

We will start with a brief introduction of mine .

After that we will discuss about Cartesian product of two sets , and talk about ordered pairs .

Then we will move on to defining Relations from one set to another and various types of relations .

For example Reflexive Relation  , Symmetric Relation , Transitive Relation and Equivalence Relation . Domains and Ranges of different relations .

After that we will define function . What a function is and how a function is different from a Relation .

After that we will discuss about the domains and ranges of different functions . Find how to check the domain of a given function and how to find range of a given function .

Then we will discuss about various types of functions say one - one function , onto function , many one function , into function , injective function , surjective function , bijective function .

Then we will discuss about composition of two functions . Learn whether composition of two functions is always defined or not . If not defined then what are the conditions in which defining composition of two functions is possible .