Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
, where 
is the greatest integer function less than or equal to 
. Then which of the following alternatives is/are true?
A
is many-one but not an even function. B
is a periodic function. C
is a bounded function. D
The graph of 
remains above the 
-axis.
remains above the -axis.
Text Solution
Verified by ExpertsThe correct answer is:
D
(a, b, c, d)
is defined when 
is defined, which is 
.
is defined when 
, where 
,
or 
or 
.
Hence, domain of 
is
Also, 
. Then
From the graph, 
is periodic with period 2.
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