Home
Class 11
MATHS
The range of the function f(x)=|x-1|+|x-...

The range of the function `f(x)=|x-1|+|x-2|,-1 le x le 3`, is

A

`[1, 3]`

B

`[1, 5]`

C

`[3, 5]`

D

`[2, 5]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The range of the function: f(x) = tan^(-1)[x], -pi/4 le x le pi/4 where [.] denotes the greatest integer function:

The function sin^(-1)x + cos^(-1)x (-1 le x le 1) is:

The value (s) of x for which the function f(x) = {{:(1 -x " , " x lt 1),( (1 -x)(2-x) " : " 1 le x le 2 ),( x -3 " , " x gt 2 ):} fails to be continuous is (are)

Show that the function f (x) = {{:( x , if x lt 1), ( 3-x , if 1 le x le 3), (x ^(2) - 4x +3, if x gt 3):} is not differentiable at 1,3.

Show that the function f (x) = {{:( x, if x lt 1), ( 6 -2x , if 1 le x le 3), ( x ^(2) - 4x + 3, if x gt 3):} is not differentiable at x = 1,3

Discuss the continuity of the function f defined by {{:(x+2," if "x le 1),(x-2," if "x gt 1):} .

Consider two funtions f(x) = {:{( [x], -2le x le -1 ),(|x|+1, -1 lt xle 2 ):} and g(x) = {:{( [x]. -pi le x lt 0 ),(Sinx 0le xle pi ):} where [.] denotes the greatest functions The range of g(f(x)) is