Home
Class 11
MATHS
The function f: N to N defined by f(n) =...

The function `f: N to N` defined by `f(n) =2n+3` is

A

surjective

B

injective

C

bijective

D

neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Show that the function f: N to N, given by f (x) =2x, is one-one but not onto.

The function f:NrarrZ defined by f(n)=(n-1)/(2) when n is odd and f(n)=(-n)/(2) when n is even, is

Show that the function f:N to N, given by f (1) =f (2) =1 and f (x) =x -1, for every x gt 2, is onto but not one-one.

Let N be the set of natural numbers. Define a real valued function f: N to n by f(x)=2x+1. Using this defination, complete the table given below,

If f:N to N is defined as f(x)=2x+5 , is f onto?

The function f: N rarr N ( N is the set of natural numbers) defined by f(n)=2n+3 is

If f: N to Z is defined by: f(n) ={{:(2, if, n=3k, k in Z),(10-n, if, n=3k+1, k in Z),(0, if, n=3k, k in Z):} , then {n in N: f(n) gt 2) =

Let A={9,10,11,12,13} and let f: A to N be defined by f(n)= the highest prime factor of n. Find the range of f.

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. f and h are form A into B where A={a,b,c,d}, B={s,t,u} defined as f(a)...

    Text Solution

    |

  2. A = {1, 2, 5, 6, 11}, B = {2, -1, 1, 0, 11, 108} and f(x) x^(2)-x-2, t...

    Text Solution

    |

  3. The function f: N to N defined by f(n) =2n+3 is

    Text Solution

    |

  4. f: N to A where N is the set of natural numbers and A is the set of e...

    Text Solution

    |

  5. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

    Text Solution

    |

  6. If f:[0,infty) to R defined by f(x) = x^(2), then f is

    Text Solution

    |

  7. Let X and Y be subsets of R, the set of all real numbers. The function...

    Text Solution

    |

  8. If f: A to A is defined by f(x) =x^(3), where A ={x//-1 le x le 1}, th...

    Text Solution

    |

  9. The function cos(3x-4) defined from R to R is:

    Text Solution

    |

  10. A is a finite set and B is a singleton set. Then f: A to B is:

    Text Solution

    |

  11. Set A has n elements. The number of functions that can be defined from...

    Text Solution

    |

  12. The number of one one functions that can be defined from {1, 2, 3, 4}...

    Text Solution

    |

  13. Let n(A) = 4 and n(B) = k. The number of all possible injections from ...

    Text Solution

    |

  14. Let n(A) = 4 and n(B) = 5. The number of all possible many-one functio...

    Text Solution

    |

  15. Set A contains 3 elements and set R contains 2 elements. The number of...

    Text Solution

    |

  16. Let A = {1, 2, 3,--------n} and B = {a, b, c], the number of functions...

    Text Solution

    |

  17. Set A has 3 elements. Set B has 4 elements. The number of surjections ...

    Text Solution

    |

  18. If A = {a(1),a(2), ……,a(10)} and B = {b(1),b(2),b(3),…….b(10)} then th...

    Text Solution

    |

  19. The number of one one onto functions that can be defined from {1,2,3,4...

    Text Solution

    |

  20. If A, B are two sets such that n(A) = 100, n(B) = 150, then the number...

    Text Solution

    |