Question

A function f: A→B is an onto function, then the range is a) domain b) Co-domain c)Image d)Pre-image

Answer 1

In onto function range must be equal to codomain it is the condition for function to be onto so option C is correct answer






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Answer 2

A function f : A → B is an onto function, then the range is Co-domain

Given :

A function f : A → B is an onto function

To find :

The range is

a) domain

b) Co-domain

c) Image

d) Pre-image

Solution :

Step 1 of 2 :

Define onto function

We first define co-domain

Co-domain of a function is defined as the set of its possible outputs.

A function f : A → B is said to be an onto function if for every element y in the co-domain B there exists a pre-image x in domain set A such that y = f(x)

Step 2 of 2 :

Find the range

Since f : A → B is onto , then every element in the co-domain B has a pre-image in the domain A

So the range is Co-domain

Hence the correct option is b) Co-domain

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