Q. 26

Mark the correct alternative in each of the following:

A function f from the set of natural, numbers to the set of integers defined by

A. neither one-one nor onto

B. one-one but not onto

C. onto but not one-one

D. one-one and onto both

Answer :

Given that a function f from the set on natural numbers to integers where

For n is odd

Let f(n) = f(m)

n = m

For n is even

Let f(n) = f(m)

n = m

So, f is one-one.

Also, each element of y is associated with at least one element of x, so f is onto.

Hence, f is one-one and onto.

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