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Mathematics
Mathematics
Problem
Determine the set of all possible values of
k
(
x
)
=
⌊
log
2
x
⌋
k(x)=\lfloor \log_{2} x \rfloor
k
(
x
)
=
⌊
lo
g
2
x
⌋
for
x
∈
(
0.5
,
20
)
x\in(0.5,20)
x
∈
(
0.5
,
20
)
. a)
{
−
1
,
0
,
1
,
2
,
3
,
4
}
\{-1,0,1,2,3,4\}
{
−
1
,
0
,
1
,
2
,
3
,
4
}
b)
{
0
,
1
,
2
,
3
,
4
}
\{0,1,2,3,4\}
{
0
,
1
,
2
,
3
,
4
}
c)
{
−
1
,
0
,
1
,
2
,
3
}
\{-1,0,1,2,3\}
{
−
1
,
0
,
1
,
2
,
3
}
d)
{
−
2
,
−
1
,
0
,
1
,
2
,
3
,
4
}
\{-2,-1,0,1,2,3,4\}
{
−
2
,
−
1
,
0
,
1
,
2
,
3
,
4
}
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