Home
Class 12
MATHS
The range of the function f(x)=2+x-[x-3]...

The range of the function `f(x)=2+x-[x-3]` is, (where `[.]` denotes greatest integer function):

A

`[5,6]`

B

`[5,6)`

C

`R`

D

`I`

Text Solution

Verified by Experts

The correct Answer is:
B
`f(x)=2+x-[x-3]`
`=2+x-[x]+3=5+{x}`
`:.f(x)epsilon[5,6) ( :'{x}epsilon[0,1))`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos

Similar Questions

Explore conceptually related problems

The range of the function f(x)=sgn(x-[x])+1 is (where [.] is the greatest integer function)

The range of the function f(x) =[sinx+cosx] (where [x] denotes the greatest integer function) is f(x) in :

The period of the function f(x)=sin(x+3-[x+3]) where [] denotes the greatest integer function

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

The range of function f(x)=[[x]-x]+sin^(2)x , where [.] denotes the greatest integer function, is.

Find the range of the following function: f(x)=ln(x-[x]), where [.] denotes the greatest integer function

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

If f(x)=[2x], where [.] denotes the greatest integer function,then

The function f(x)=[x^(2)]+[-x]^(2) , where [.] denotes the greatest integer function, is

The range of the function y=[x^(2)]-[x]^(2)x in[0,2] (where [] denotes the greatest integer function),is

RESONANCE-TEST SERIES-MATHEMATICS
  1. If a(1),a(2),a(3),…a(n+1) are in arithmetic progression, then sum(k=0)...

    Text Solution

    |

  2. A line makes an angel theta with each of the x-and z-axes. If the a...

    Text Solution

    |

  3. The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greate...

    Text Solution

    |

  4. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

    Text Solution

    |

  5. Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x. State...

    Text Solution

    |

  6. A spherical balloon is expanding. If the radius in increasing at the r...

    Text Solution

    |

  7. Let D(r) = |(a,2^(r),2^(16) -1),(b,3(4^(r)),2(14^(16) -1)),(c,7(8^(r))...

    Text Solution

    |

  8. Let veca and vecb be unit vectors such that |veca+vecb|=sqrt(3), then ...

    Text Solution

    |

  9. ("lim")(xvecoo)(e^1//x^2-1)/(2tan^(-1)(x^2)-pi)i se q u a lto 1 (b) -...

    Text Solution

    |

  10. The equation of the tangent to the curve y=sqrt(9-2x^(2)) at the point...

    Text Solution

    |

  11. Let P and Q be two statements, then ~(~P^^Q)^^(PvvQ) is logically equi...

    Text Solution

    |

  12. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

    Text Solution

    |

  13. If sum(i=1)^(15)x(i)=45,A=sum(i=1)^(15)(x(i)-2)^(2), B=sum(i=1)^(15)(...

    Text Solution

    |

  14. If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is

    Text Solution

    |

  15. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

    Text Solution

    |

  16. The no. of solutions of the equation a^(f(x)) + g(x)=0 where a>0 , and...

    Text Solution

    |

  17. Statement 1: If AnnB=phi then n((AxxB)nn(BxxA))=0 Statement 2: A-(Bu...

    Text Solution

    |

  18. Angle between diagonals of a parallelogram whose side are represented ...

    Text Solution

    |

  19. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |

  20. The function f(x)=1+x(sinx)[cosx], 0ltxlepi//2, where [.] denotes grea...

    Text Solution

    |