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Home » Define each of the following: (i) bijective function (ii) many – one function Give an example of each type of functions.
Define each of the following:
(i) bijective function
(ii) many – one function
Give an example of each type of functions.
CBSE | Class 12 | Excercise 2A | Functions | Maths | RS Aggarwal
Define each of the following:
(i) bijective function
(ii) many – one function
Give an example of each type of functions.

Solution:

(i)Bijective function: It is, also known as one-one
onto function and is a function where for every element of set A, there is exactly one image in set B, such that no element is set B is left
without match or ordered pair.
For example: f: R \rightarrow R given by f(x) = 3x + 8 for all x \in R is a bijection function.

(ii) Many-one function: It is is function where for
image in Set B, there is more than one element in Set A.
For example: f: Z \rightarrow Z defined by f(x) = x^2 + x + 1 for all x \in Z

i

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