Home
Class 11
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 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

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos
  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

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

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If : f(x+1/x)=x^3+1/x^3, where x ne0 then: f(x)=...

    Text Solution

    |

  2. If: AxxB={(1,1),(1,2),(1,3),(2,1),(2,2),(2,3)}, then: A=

    Text Solution

    |

  3. A function f from the set of natural number to integers defined by ...

    Text Solution

    |

  4. If f:RtoR satisfies f(x+y)=f(x)+f(y), for all real x,y and f(1)=m. the...

    Text Solution

    |

  5. If f(n+1)=(2F(n)+1)/2,n=1,3, ,a n dF(1)=2. Then F(101) equals 52 (b) ...

    Text Solution

    |

  6. If : f(x)=root(n)((x^m)), where n inN, is even function then m is

    Text Solution

    |

  7. Given the function f(x)=(a^x+a^(-x))/2(w h e r ea >2)dotT h e nf(x+y)+...

    Text Solution

    |

  8. If f(x) =ax^(2) + bx + c satisfies the identity f(x+1) -f(x)= 8x+ 3 fo...

    Text Solution

    |

  9. If : f(x)=x^2 and g(x)=2^x, then, the solution set of the equation (f@...

    Text Solution

    |

  10. Let f(x)=(alphax)/(x+1),x ne -1. Then, for what values of alpha is f[f...

    Text Solution

    |

  11. The value of parameter alpha, for which the function f(x) = 1+alpha x,...

    Text Solution

    |

  12. If f(x) = (a-x^n)^(1/n), a > 0 and n in N, then prove that f(f(x)) = x...

    Text Solution

    |

  13. "If" f(x)=(3x+2)/(5x-3),"then"

    Text Solution

    |

  14. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

    Text Solution

    |

  15. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  16. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  17. If f(x): (25-x^4)^(1/4) for 0< x< sqrt5 then f(f(1/2))=

    Text Solution

    |

  18. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |

  19. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  20. If f(x)=cos (logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

    Text Solution

    |