BIGtheme.net http://bigtheme.net/ecommerce/opencart OpenCart Templates
Wednesday , June 28 2017
Home / Algebra / What is function? What is Onto function, One to one function, One to one onto function

What is function? What is Onto function, One to one function, One to one onto function

Definition: If two variables x and y are so related that for each value of x, there is one and only one value of y, then y is called function of x.
Or, Suppose that to each element of a set A we assign a unique element of a set B, the collection of such assignment is called a function from A into B.
The set A is called the domain of the function, and the set B is called the target set or range of the function.
Functions are ordinarily denoted by symbols. For example, let f denote a function from A into B. Then we write
f:A→B
which is read : “ f is a function from A into B”

Screenshot_34

Onto function: A function from A to B is said to be an onto function if every element of B is the image of one or more elements of A.
Example:

function_1

Onto function also called surjection.
One to one function: A function from A to B is said to be a one to one function if no two elements of A have the same image.

Example:  fffff_1

One to one onto function: A function from A to B is said to be a one to one onto function if it is both an onto and a one to one function.
Example:

function_1

Check Also

Simple Equation Solution

Solution-1   Solution-2   Solution-3   Solution-4   Solution-5   Solution-6   Solution-7   Solution-8 ...

Leave a Reply

Your email address will not be published. Required fields are marked *