Home
Class 11
MATHS
Let f : Z to Z be given by f(x) = {((x)...

Let f : Z `to Z ` be given by f(x) = `{((x)/(2) if"is even"),(0 if" is odd"):}` Then f is

A

one-one but not onto

B

onto but not one -one

C

one-one and onto

D

neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - B)|8 Videos
  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - C)|5 Videos
  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise EXERCISE 1.5|25 Videos
  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - IV|11 Videos
  • SURAS MODAL QUESTION PAPER-1 MATHEMATICS

    SURA PUBLICATION|Exercise Section-IV|20 Videos

Similar Questions

Explore conceptually related problems

Let f : RR to RR be given by f(x) = x+ sqrt(x^(2)) is

Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

Let A = {-2,-1,0,1,2} and f:A to Z be given by f(x) = x^(2)-2x-3 then preimage of 5 is

Let a function f be defined by f(x)=(x-|x|)/x for x ne 0 and f(0)=2. Then f is

Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2 .Then f is :

Show that f:Nto N, given by f (x) = x + 1 , if x is odd, f (x) = x -1, if x is even is both one-one and onto.

Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then a) f(x) is an odd function b) f(x) is a one-one function c) f(x) is an onto function d) f(x) is an even function

SURA PUBLICATION-SETS RELATIONS AND FUNCTIONS-ADDITIONAL PROBLEMS (SECTION - A)
  1. Let f : R to R be defined as f(x) = x^(4). Choose the correct answer.

    Text Solution

    |

  2. Let f : R to R to given by f(x) = (3 -x^(3))^((1)/(3)). Then of (x) is

    Text Solution

    |

  3. Let A = {-2,-1,0,1,2} and f:A to Z be given by f(x) = x^(2)-2x-3 then ...

    Text Solution

    |

  4. Which one of the following is a finite set ?

    Text Solution

    |

  5. If sube B, then A\B is

    Text Solution

    |

  6. Given A = {5,6,7,8}. Which one of the following is incorrect?

    Text Solution

    |

  7. The shaded region in the adjoining diagram represents.

    Text Solution

    |

  8. The shaded region in the adjoining diagram represents.

    Text Solution

    |

  9. Let R be a relation on the set NN given by RR= {(a,b) : a=b-2,b gt6}. ...

    Text Solution

    |

  10. If A = {1,2,3} , B = {1,4,6,9} and R is a relation from A to B defined...

    Text Solution

    |

  11. For real numbers x and y define x\ R\ y if x - y + sqrt(2) is an irrat...

    Text Solution

    |

  12. Let R be the relation over the set of all straight lines in a plane su...

    Text Solution

    |

  13. Which of the following is not an equivalence relation on z?

    Text Solution

    |

  14. Which of the following functions from z to itself are bijections (one-...

    Text Solution

    |

  15. Let f : Z to Z be given by f(x) = {((x)/(2) if"is even"),(0 if" is od...

    Text Solution

    |

  16. If f : RtoR is given by f(x) = 3x-5, then f^(-1)(x) is

    Text Solution

    |

  17. If f (x) = 2x-3 and g(x)= x^(2) +x-2 then go f(x) is

    Text Solution

    |

  18. Let f : RR to RR be given by f(x) = x+ sqrt(x^(2)) is

    Text Solution

    |

  19. Choose the correct statement .

    Text Solution

    |

  20. Match List - I with List II {:("List I","ListII"),("i"." " {(1,1)...

    Text Solution

    |