Home
Class 12
MATHS
f(x)=abs(x-1)+abs(x-2), -1 le x le 3. Fi...

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

Text Solution

Verified by Experts

The correct Answer is:
Range `in [1,5]`
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)+abs(x-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).

Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 and discuss the continuity or discontinuity of f in the interval -1 le x le 1

Let f(x)=min{1,cos x,1-sinx}, -pi le x le pi , Then, f(x) is

Find the intervals in which the function 'f' given by: f(x) = sin x-cosx , 0 le x le 2pi is strictly increasing or decreasing.

Let g(t)=abs(t-1)-abs(t)+abs(t+1),forall " " t in R. Find f(x)=max{g(t):-3/2 le t le x},forall x in ((-3)/2,infty) .]

Find the number of solutions of abs([x]-2x)=4 , where [x] is the greatest integer le x.

f(x)={{:(x-1",", -1 le xle 0),(x^(2)",",0 lt x le 1):} and g(x)=sinx. Find h(x)=f(abs(g(x)))+abs(f(g(x))).

ARIHANT MATHS-FUNCTIONS-Exercise For Session 5
  1. f(x)=x/(1+x^(2)). Find domain and range of f(x).

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |