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CGP EDU Academic Team
Published on: August 14, 2026
Examine whether the following functions are even or odd or neither even nor odd, where [ ] denotes greatest integer function.
(i)f (x) = 
(ii) f (x) = 
(iii)f (x) = 
– 
(iv) f (x) = 
Text Solution
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(i) neither even nor odd (ii) even
(iii) odd (iv) even
Sol. (i) f(–x) = 
neither even nor odd
(ii) f(–x) = 
= f(x) even
(iii) f(–x) = – f(x) odd
(iv) f(x) = 
, even by graph of function
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