Home
Class 12
MATHS
f(x)=abs(x-1)+abs(x-2)+abs(x-3) . Find t...

`f(x)=abs(x-1)+abs(x-2)+abs(x-3)` . Find the range of f(x).

Text Solution

Verified by Experts

The correct Answer is:
`[2,infty]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|18 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

Find the range of f(x)=1-|x-2|.

f(x)=abs(x-1)+abs(x-2), -1 le x le 3 . Find the range of f(x).

f(x)=(x^(2)-2)/(x^(2)-3) . find the range of f(x).

f(x)=sqrt(x^(2)-abs(x)-2) . Find the domain of f(x).

f(x)=(x^(2)+2x+3)/x . Find the range of f(x).

f(x)=sinx+cosx+3 . find the range of f(x).

f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

f(x)=sqrt(2-abs(x))+sqrt(1+abs(x)) . Find the domain of f(x).

f(x)=sqrt(9-x^(2)) . find range of f(x).

f(x)=log_(3)(5+4x-x^(2)) . find the range of f(x).

ARIHANT MATHS-FUNCTIONS-Exercise For Session 5
  1. f(x)=(x^(2)-2)/(x^(2)-3). find the range of f(x).

    Text Solution

    |

  2. f(x)=(x^(2)+2x+3)/x . Find the range of f(x).

    Text Solution

    |

  3. f(x)=abs(x-1)+abs(x-2)+abs(x-3) . Find the range of f(x).

    Text Solution

    |

  4. Find the range of the following function: f(x)=log([x-1])sinx, where...

    Text Solution

    |

  5. f(x)=cos^(-1)sqrt(log([x])""abs(x)/(x), where [*] denotes the greatest...

    Text Solution

    |

  6. Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest inte...

    Text Solution

    |

  7. The range of sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [.] denotes t...

    Text Solution

    |

  8. Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

    Text Solution

    |

  9. f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

    Text Solution

    |

  10. Find the range of f(x)=sqrt(log(cos(sinx)))

    Text Solution

    |

  11. f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

    Text Solution

    |

  12. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  13. Range of f(x)=(tan(pi[x^(2)-x]))/(1+sin(cosx))

    Text Solution

    |

  14. range of f(x)=e^(x)/([x]+1),x ge 0

    Text Solution

    |

  15. Find the range of f(x)=[abs(sinx)+abs(cosx)], where [*] denotes the gr...

    Text Solution

    |

  16. Find domain of f(x) if f(x)=sqrt(-x^(2)+4x-3)+sqrt(sin""pi/2(sin""pi/2...

    Text Solution

    |

  17. Find the image of the following sets under the mapping f(x)= x^4 -8x^3...

    Text Solution

    |

  18. Find the domain and range of f(x)=log[ cos|x|+1/2],where [.] denotes...

    Text Solution

    |

  19. Find the domain and range of f(x) = sin^-1 (log [x]) + log (sin^-1 [x...

    Text Solution

    |

  20. Find the domain and range of f(x)=[log(sin^(-1)sqrt(x^2+3x+2))].

    Text Solution

    |