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Mathematics
Problem
Let
g
(
x
)
=
x
3
−
6
x
+
2
g(x)=x^{3}-6x+2
g
(
x
)
=
x
3
−
6
x
+
2
on the interval
[
−
2
,
3
]
[-2,3]
[
−
2
,
3
]
. Determine whether
g
g
g
is one-to-one on
[
−
2
,
3
]
[-2,3]
[
−
2
,
3
]
, and give a brief justification.
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