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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

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The correct Answer is:
B
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Knowledge Check

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

    A
    `{-pi/4,0}`
    B
    `[-pi,4, pi/4]`
    C
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    `[-1,0]`

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

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    a one-one function
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    a constant function
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    an identity function
    D
    onto function

  • 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)

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    1
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    2
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