Page 185 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes (b) Now take another relation

It represents one-to-one onto function.

(c) Now let us find the inverse of this relation, which is represented pictorially as:

This does not represent a function, because element 6 of set B is not associated with any
element of A. Also note that the elements of B do not have a unique image.
(d) Let us take the following relation

It represent one-to-one into function.
(e) Graphical Representation of Functions
Since any function can be represented by ordered pairs, therefore, a graphical representation
of the function is always possible. For example, consider y = x .
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