Note on types of functions

In this section let me help you on types of functions. To know types of function, first one has to consider two sets with values(briefly explained below) and representation of function is done by values bounded in a oval shaped boundary as shown in diagrams below.

Considering two functions A and B

* One-one function

* Many-one function

* Onto function

* Into function

And below are the functions explained in detail with mapping function representation.

Example Problems for Function:

This can also help you on adjoint matrix.

Q 1 : f(x) = 3x + 4 substitute the value for x = 4

Sol : Given f(x) = 3x + 4

Substitute the value in equation x = 4

Here the notation value has substituted

f(2) = 3(4) + 4

Here we have multiplied by 3( 4 ) = 12

f(2) = 12 + 4

f(2) = 16