3. Different types of functions their domain and range

This concept is started in class 12 that is what are the commutative and associative properties of the binary functions

a*b=b*a. Commutative property

a*(b*c)=(a*b)*c associative property

How to check whether a function is infimum function or superinfimum function

How will we obtain a binary composition table for any given function

FUNCTIONS

It is a special type of relation.

Defⁿ: A relation R:AàB is said to be a function if every element of a set A has only one image in set B.

Or                

A relation R:AàB is said to be a function if Domain(R)=A and One many relation is not present.

Or

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.

Example:

Different types of functions their domain and range

FUNCTIONS

It is a special type of relation.

Defⁿ: A relation R:AàB is said to be a function if every element of a set A has only one image in set B.

Or

A relation R:AàB is said to be a function if Domain(R)=A and One many relation is not present.

Or

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.

Example:

Different types of functions their domain and range