For example f ( x ) = 3 x, x Î { 1, 2, 3 }
- Many - One function
A function f : A ® B is many - one if two or more elements of A have the same in B.
For example f ( x ) = x2, x Î { 1, -1, -2, 2 }.
- Onto function ( Surjection )
A function f : A ® B is called an onto function if every element of B is an of some element of A i.e. the codomain = range.
(a) One-one onto :One-one onto also known as
(Bijection )bijective mapping or bijective;function.
(b) Many-one onto :-
- Into function
A function f : A ® B is called an into function if the co domain ¹ range
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Index
6.1 Relations
6.2 Functions
6.3 Variation
Chapter 7
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