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Mathematics
Problem
Determine the range of the function
f
(
x
)
=
⌊
x
⌋
+
s
g
n
(
x
)
f(x)=\lfloor x \rfloor + \mathrm{sgn}(x)
f
(
x
)
=
⌊
x
⌋
+
sgn
(
x
)
on the interval
−
2
≤
x
<
3
-2\le x<3
−
2
≤
x
<
3
. a)
{
−
3
,
−
2
,
1
,
2
,
3
}
\{-3,-2,1,2,3\}
{
−
3
,
−
2
,
1
,
2
,
3
}
b)
{
−
3
,
−
2
,
0
,
2
,
3
}
\{-3,-2,0,2,3\}
{
−
3
,
−
2
,
0
,
2
,
3
}
c)
{
−
3
,
−
2
,
0
,
1
,
2
,
3
}
\{-3,-2,0,1,2,3\}
{
−
3
,
−
2
,
0
,
1
,
2
,
3
}
d)
{
−
2
,
−
1
,
0
,
1
,
2
}
\{-2,-1,0,1,2\}
{
−
2
,
−
1
,
0
,
1
,
2
}
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