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For example f ( x ) = 3 x, x Î { 1, 2, 3 }

  1. 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 }.

  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 :-

  3. Into function

A function f : A ® B is called an into function if the co domain ¹ range

Index

6.1 Relations
6.2 Functions
6.3 Variation

Chapter 7

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