Home
Class 11
MATHS
If f(x) =|x/2| is a real function, then ...

If `f(x) =|x/2|` is a real function, then `f: R to B` is a surjection then B equals:

A

R

B

`R^(+)`

C

`R^(-)`

D

`R^(+) cup {0}`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If f(x) is a real function defined on [-1, 1], then the real function g(x) = f(5x + 4) is defined on the interval

f(x) is an even function on R and f(x) is increasing on [2,6]. Then

If f(x) is a real function defined on [-1,1], then the function g(x) = f(5x+4) is defined on the interval

If the function f:{-1,1} to{0,2}, defined by f(x)=ax+b is a surjection, then find a & b.

If the function f: { -1, 1} to {0,2} , defined by f(x) = ax+b is a surjection, then find a & b.

If f is a real function such that f(4) = 4 and f'(4) = 16, " then " underset(x rarr 4)(lim) (sqrt(f(x))-2)/(sqrtx-2)=

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. The domain of the function: f(x) = log(3)(18x-x^(2)-77) is:

    Text Solution

    |

  2. The domain of log(x)5 is:

    Text Solution

    |

  3. If f(x) =|x/2| is a real function, then f: R to B is a surjection then...

    Text Solution

    |

  4. Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|...

    Text Solution

    |

  5. Domain , Range of f(x) =|x| + |x+1| are respectively:

    Text Solution

    |

  6. f and h are form A into B where A={a,b,c,d}, B={s,t,u} defined as f(a)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |