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Mathematics
Problem
Let
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
2
f(x)=x^{3}-6x^{2}+9x+2
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
2
. Determine the open intervals on which
f
f
f
is increasing and the open intervals on which it is decreasing. Provide your answers in interval notation.
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