Home
Class 12
MATHS
The function f:NtoN given by f(x)=2x...

The function `f:NtoN` given by `f(x)=2x`

A

one-one and onto

B

one-one and not onto

C

not one-one and not onto

D

onto but not one-one

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

  • THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

Consider the function f:NtoN , given by f(x)=x^3 . Show that the function ' f ' is injective but not surjective.

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N Prove that f is not onto.

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N Check whether f is an onto function.

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N If g(x)={(x-1,,,,x>1),(1,,,,x=1):} then find gof

Check the injectivity and surjectivity of the following functions f:RtoR given by f(x)=[x]

Find the intervals in which the function f given by f(x)=2x^2-3x is strictly increasing

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

The local minimum value of the function f given by f(x)=x^(2)-x,x inR , is

Show that the function f:RrarrR given by f(x)=x+x^3 is a bijective function.

Find the intervals in which the function f given by f(x)=x^2-6x+5 is Strictly increasing.

MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. When a relation R on a set A is said to be reflexive

    Text Solution

    |

  2. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

    Text Solution

    |

  3. The function f:NtoN given by f(x)=2x

    Text Solution

    |

  4. Find gof(x), if f(x)=8x^3 and g(x)=x^(1/3)

    Text Solution

    |

  5. Let ast be an operation such that aastb=LCM of a and b defined on the ...

    Text Solution

    |

  6. f:{1,2,3,4}to{5} defined by f={(1,5),(2,5),(3,5),(4,5)}. Does the ...

    Text Solution

    |

  7. A=R-{7/5},B=R-{3/5} f:AtoB defined by f(x)=frac(3x+4)(5x-7) g:BtoA...

    Text Solution

    |

  8. Let A=NtimesN, N-set of natural numbers and 'ast' be a binary operatio...

    Text Solution

    |

  9. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

    Text Solution

    |

  10. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

    Text Solution

    |

  11. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

    Text Solution

    |

  12. Give a relation on a set A={1,2,3,4} which is reflexive, symmetric and...

    Text Solution

    |

  13. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

    Text Solution

    |

  14. Let 'ast' be a binary operation on Q^+ defined by 'aastb=frac(ab)(6)'....

    Text Solution

    |

  15. ast:Rto R given by aastb=3a^2-b Find the value of 2ast3 . Is 'ast' ...

    Text Solution

    |

  16. f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1).

    Text Solution

    |

  17. Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

    Text Solution

    |

  18. Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your ans...

    Text Solution

    |

  19. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

    Text Solution

    |

  20. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

    Text Solution

    |