Final Cover - For Printing

FUNCTIONS

1. Function
   Let A and B be any two non-empty sets. Let f denote some rule which associates with
   every element of A, a unique element of B. Then, f is a function or a mapping from A
   to B and is denoted as f : A→B.

Note that a relation is a function if there is one and only one image for each element

in the domain.

Two embossed sets with some elements in each may be prepared on a sheet of paper

and be used for teaching the idea of functions and its types.

Eg. :

f : A→B and f(x) = x+3

2. Image and pre-image
   Let f : A→B, a∈A. If a is mapped to b ∈ B, then the image of a is b. If b is the image
   then a is its pre-image.

Eg. :

Module 77 : Functions

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