# funções injetoras, sobrejetoras e bijetoras

## English translation: injective, surjective and bijective functions

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 00:45 Apr 24, 2001
Portuguese to English translations [Non-PRO]
Tech/Engineering
 Portuguese term or phrase: funções injetoras, sobrejetoras e bijetoras technical words of mathematics
 Fernanda Silva Mendes
 English translation:injective, surjective and bijective functions Explanation: função injetora = injective function, or one-one function função sobrejetora = surjector function, or onto function função bijetora = bijective function, or one-one onto function Ao invés de function freqüentemente se usa mapping. segundo o site www.pinkmonkey.com: Types of Functions One - One ( 1 - 1 ) Function A function f : A ® B is one-one if different elements of A have different images in B. It is also called 'injection'. 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. O site http://www.math.fsu.edu/~aluffi/MGF3301/outline.html apresenta o uso que escolhi para a resposta.
Selected response from:

Michael Duncan
Brazil
Local time: 22:03
Grading comment
 Thank you very, very much for the help. If you wouldn't have replied, I would be in troubles! Many regards, FSM4 KudoZ points were awarded for this answer

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Summary of answers provided
nainjective, surjective and bijective functionsMichael Duncan

## Answers

3 hrs
injective, surjective and bijective functions

Explanation:

função injetora = injective function, or one-one function
função sobrejetora = surjector function, or onto function
função bijetora = bijective function, or one-one onto function

Ao invés de function freqüentemente se usa mapping.

segundo o site www.pinkmonkey.com:

Types of Functions

One - One ( 1 - 1 ) Function

A function f : A ® B is one-one if different elements of A have different images in B. It is also called 'injection'.

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.

O site http://www.math.fsu.edu/~aluffi/MGF3301/outline.html apresenta o uso que escolhi para a resposta.

www.pinkmonkey.com (requer senha)
Reference: http://www.math.fsu.edu/~aluffi/MGF3301/outline.html
 Michael DuncanBrazilLocal time: 22:03
Grading comment
 Thank you very, very much for the help. If you wouldn't have replied, I would be in troubles! Many regards, FSM
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