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Question
Answer the following:
Find the range of the following function.
f(x) = [x] – x
Solution
f(x) = [x] – x = – {x} ...[∵ x = [x] + {x}]
∵ 0 ≤ {x} < 1
∴ 0 ≥ – {x} > – 1
∴ – 1 < f(x) ≤ 0
∴ Range = (– 1, 0]
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