Function(y is equal to f of x)

Brief Concept

Euler(1707-1783)  invented a symbolic way to write the statements “ y is function of x” as y=f(x) which is read as “ y is equal to f of x” .  The variable x is called independent variable  and  the variable y is called the  dependent variable.

Definition  (function)

A function f from a set X to a set Y is a rule or a correspondence that assigns to each element x in X a unique element y in Y. The set X is called the domain and set of corresponding elements y in Y is called the range of f.

 

 

Notations:

Functions are denoted by english alphbets such as f,g,n,H,G and so on.

 

 

 

 

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