Home
Class 12
MATHS
Which of the following functions have th...

Which of the following functions have their range equal to R(the set of real numbers)?

A

xsinx

B

`[x]/(tan2x)*x in (-pi/4*pi/4)-{0}`, where `[*]` denotes the greatest integer function

C

`x/(sinx)`

D

`[x]+sqrt({x})`, where `{*}`, respectively denote the greatest integer and fractional part functions

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|76 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Which of following functions have the same graph?

Which of the following function(s) has/have the same range ?

Which of the following are examples of the null set :- Set of even prime numbers

Find the range of the following function:- f(x) = x^2 + 2 , x is a real number.

Which one of the following function contains only one integer in its range ? [ Note sgn (k) denotes the signum function of k.]

Let f be a real - valued function defined on R ( the set of real numbers) such that f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x) The value of f(10) is equal to

Let f be a real - valued function defined on R ( the set of real numbers) such that f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x) Number of values of x in interval (0, 3) so that f(x) is an integer, is equal to

For which of the following sets of quantum numbers, an electrons will have the highest energy ?

Let f be a real - valued function defined on R ( the set of real numbers) such that f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x) The area bounded by curve y = f(x) and x- axis from pi/2 le x le pi is equal to

ARIHANT MATHS-FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. f(x)=x^2-2a x+a(a+1),f:[a ,oo)⟶[a ,oo)dot If one of the solution of th...

    Text Solution

    |

  2. The function 'g' defined by g(x)=sin(sin^(-1){sqrt(x)}+cos (sin^(-1){s...

    Text Solution

    |

  3. The graph of f:R rarr R defined by y=f(x) is symmetric with respect to...

    Text Solution

    |

  4. Let y=f(x) be a differentiable function such that f(−1)=2,f(2)=−1 and ...

    Text Solution

    |

  5. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then a. least value of ...

    Text Solution

    |

  6. Let A={1,2,3,4,5}, B={1,2,3,4} and f:A rarr B is a function, then

    Text Solution

    |

  7. In a function 2f(x)+ xf(1/x)-2f(|sqrt2sin(pi(x+1/4))|)=4cos^2[(pix)/2]...

    Text Solution

    |

  8. If f(x) is a differntiable function satisfying the condition f(100x)=x...

    Text Solution

    |

  9. If [x] denotes the greatest integer function then the extreme values o...

    Text Solution

    |

  10. Which of the following are true?

    Text Solution

    |

  11. If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,......

    Text Solution

    |

  12. Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R...

    Text Solution

    |

  13. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

    Text Solution

    |

  14. If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y i...

    Text Solution

    |

  15. If the fundamental period of function f(x)=sinx+cos(sqrt(4-a^(2)))x "...

    Text Solution

    |

  16. Let f (x) be a real vaued continuous function such that f (0) =1/2 a...

    Text Solution

    |

  17. if f(g(x)) is one-one function, then

    Text Solution

    |

  18. Which of the following functions have their range equal to R(the set o...

    Text Solution

    |

  19. Which of the following pairs of function are identical? a. f(x)=e^(In ...

    Text Solution

    |

  20. Let f:R rarr R defined by f(x)=cos^(-1)(-{-x}), where {x} denotes fra...

    Text Solution

    |