Home
Class 12
MATHS
In each of the following cases,state whe...

In each of the following cases,state whether the function is onto,one to one or bijective.Justify your answer `if:NrarrN` defined by
`f(n)={((n+1)/2,n is odd),(n/2,n is even):}`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|10 Videos
  • QUESTION PAPER 2020

    BODY BOOKS PUBLICATION|Exercise EXERCISE|57 Videos
  • THREE DIMENSIONAL GEOMETRY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

In each of the following cases, states whether the function is one-one, onto or bijective. Justify your answer. f : R rarr R defined by f(x) = 1 + x^2

In each of the following cases, states whether the function is one-one, onto or bijective. Justify your answer. f : R rarr R defined by f(x) =3 - 4x

Identify the main product of the following reactions. Suggest whether the reaction S_N^1 or S_N^2 .

State whether the following statements are true or false. Justify For an arbitary binary operation ** on N, a**a=a AA a in N

Identify each part in a flowering plant and write whether it is haploid (n) or diploid (2n).

State whether following sets are finite or infinite: {x:x in N and x is odd}

Prove that the function f: N rarr N , defined by f(x)=x^2+x+1 is one-one but not onto.

If f: N rarr Z is defined by f(n) ={{:((n-1)/(2),"when n is odd"),(-n/2,"when n is even"):} then identify the type of function