Home
Class 12
MATHS
A function f from the set of natural num...

A function f from the set of natural number to integers defined by
`f(n)={{:(,(n-1)/(2),"when n is odd"),(,-(n)/(2),"when n is even"):}`

A

One-one but not onto

B

Onto but not one-one

C

One-one and onto both

D

Neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:N to Z and f (x)=[{:((x-1)/(2),"when x is odd"),(-(x)/(2),"when x is even"):}, then:

Find the sequence of the numbers defined by a_(n)={{:(1/n,"when n is odd"),(-1/n,"when n is even"):}

A function f from the set of natural numbers to integers is defined by n when n is odd f(n)3, when n is even Then f is (b) one-one but not onto a) neither one-one nor onto (c) onto but not one-one (d) one-one and onto both

The function f:NtoN,N being the set of of natural numbers, defined by f(x)=2x+3 is

Let N be the set of numbers and two functions f and g be defined as f,g:N to N such that f(n)={((n+1)/(2), ,"if n is odd"),((n)/(2),,"if n is even"):} and g(n)=n-(-1)^(n) . Then, fog is (A) one-one but not onto (B) onto but not one-one (C) both one-one and onto (D) neither one-one nor onto