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Mathematics
Mathematics
Problem
Let
q
:
(
−
3
,
3
]
→
R
q:(-3,3]\to\mathbb R
q
:
(
−
3
,
3
]
→
R
be defined by
q
(
x
)
=
⌊
x
+
1
⌋
−
sgn
(
x
)
q(x)=\lfloor x+1\rfloor-\operatorname{sgn}(x)
q
(
x
)
=
⌊
x
+
1
⌋
−
sgn
(
x
)
. Determine the range of
q
q
q
.
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