Home
Class 11
MATHS
If A={1,2,3,4}" and "B={1,2,3,4,5,6} are...

If `A={1,2,3,4}" and "B={1,2,3,4,5,6}` are two sets and function `f: A to B` is defined by `f(x)=x+2,AA x in A`, then the function f is

A

Bijective

B

Onto

C

One-one

D

Many-one

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

A function f is defined by f(x^(2) ) = x^(3) AA x gt 0 then f(4) equals

If the function f : A rarr B is defined as f(x) = (x-2)/(x-3) then the set A must be

Let A={1,2,3,4} and B={1,-2,3,4} If f:A rarr B is an one one function and f(x)!=x for all x in A, then find the no of possible functions,is

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

A function is defined as follows f(x)={x^(3),x^(2)<1 and x,x^(2)<=1 then function is

If f : [2,oo) to R be the function defined by f(x)=x^(2)-4x+5, then the range of f is

If A={1,2} and B={3,6} and two functions f: A to B and g: A to B are defined respectively as : f(x) =x^(2) + 2 and g(x) =3x Find whether f=g

If the function f:[2,oo)rarr[-1,oo) is defined by f(x)=x^(2)-4x+3 then f^(-1)(x)=

Let f:R to R be the function defined by f(x)=2x-3, AA x in R. Write f^(-1).

If f:R to R be the function defined by f(x) = sin(3x+2) AA x in R. Then, f is invertible.

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. If f: R to R be defined by f(x) =(1)/(x), AA x in R. Then , f is

    Text Solution

    |

  2. If f : A to B is bijection and g : B to A is that inverse of f, then ...

    Text Solution

    |

  3. If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to...

    Text Solution

    |

  4. A is a set having 6 distinct elements. The number of distinct function...

    Text Solution

    |

  5. Number of bijective function from a set of 10 elements to itself is

    Text Solution

    |

  6. Set A has 3 elements and set B has 4 elements. The number of injection...

    Text Solution

    |

  7. The set A has 4 elements and thse set B has 5 elements, then the numbe...

    Text Solution

    |

  8. Which one of the following is a bijective function on the set of real ...

    Text Solution

    |

  9. Let f : R to R be defined by f (x) = x ^(4), then

    Text Solution

    |

  10. Let the function f:R to R be defined by f(x)=2x+sin x. Then, f is

    Text Solution

    |

  11. Let f:N-&gt;N be defined by f(x)=x^2+x+1,x in N. Then is f is

    Text Solution

    |

  12. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

    Text Solution

    |

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

    Text Solution

    |

  14. Let f:N->N be defined as f(n)= (n+1)/2 if n is odd and f(n)=n/2 if n i...

    Text Solution

    |

  15. Let N be the set of all natural numbers, Z be the set of all integers ...

    Text Solution

    |

  16. The function f :R to R defined by f (x) = e ^(x) is

    Text Solution

    |

  17. f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x...

    Text Solution

    |

  18. If x ne 1 and f (x) =(x+1)/(x-1) is a real function, then f (f(f(2))) ...

    Text Solution

    |

  19. Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g...

    Text Solution

    |

  20. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |