Find the range of f(x) = [x] + [-x]
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Answer:
x]=x−{x} for x∈R. Where {x} is the fractional part of x.
Now,
[x]−x=−{x}.
As we've 0≤{x}<1
or, −1<−{x}≤0.
So range of of f(x) is (−1,0].
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