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If [x] is defined to represent the greatest integer less than or equal to x , and f(x)`=|x-[x]-1/2|`, the maximum value of f(x) is

A

-1

B

0

C

`1/2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Plot the graph of y=abs(x-int(x)-1/2) in a [-5,5] by [-2,2] window, and observe that the maximum value is `1/2`
An alternative solution is to sketch a portion of the graph by hand an observe the maximum value. [11]
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