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

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

If f(x) =abs(abs(x-3)-2), 0 le x le 4 and g(x)= 4-abs(2-x),-1 le x le 3 the find fog(x).

Draw the graph of the function f(x)= x- |x-x^(2)|, -1 le x le 1 and find the points of non-differentiability.

If f(x)=4x-3 , where -3 le x le 1 then the range of the function f is given by

Two functions are defined as under : f(x)={(x+1, x le 1), (2x+1, 1 < x le 2):} and g(x)={(x^2, -1 le x le 2), (x+2, 2 le x le 3):} Find fog and gof

If f(x)=6-5x^2 , where -4 le x le 5 , then the range of the function f is given by

If f(x)=2x+3 , where 1 le x le 2 , then the range of the function f is given by

If function f(x) = x-|x-x^(2)|, -1 le x le 1 then f is

For abs(x-1)+abs(x-2)+abs(x-3)le6 , x belongs to