Question

If f (x) = [x] + [x +1] , find the value of f(-0.5) ___________ class 11: mathematics chapter: relations and function

Answer 1

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First of all

[x] = Box Function = Greatest Integer but not greater than x

Now

f (x) = [x] + [x +1]

f(-0.5)

= [ - 0.5]+[ - 0.5+1 ]

= [ - 0.5 ] + [ 0.5 ]

= - 1 + 0

= - 1

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Answer 2

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[x] = ʙᴏx ғᴜɴᴄᴛɪᴏɴ = ɢʀᴇᴀᴛᴇsᴛ ɪɴᴛᴇɢᴇʀ ʙᴜᴛɴᴏᴛ ɢʀᴇᴀᴛᴇʀ ᴛʜᴀɴ x

ɴᴏᴡ

ғ (x) = [x] + [x +1]

ғ(-０.５)

= [ - ０.５]+[ - ０.５+１ ]

= [ - ０.５ ] + [ ０.５ ]

= - １ + ０

= - １

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