Maharashtra State BoardHSC Science (Electronics) 11th
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Answer the following: Find the range of the following function. f(x) = [x] – x - Mathematics and Statistics

Sum

Answer the following:

Find the range of the following function.

f(x) = [x] – x

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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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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 6 Functions
Miscellaneous Exercise 6 | Q II. (41) (d) | Page 132
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