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Mathematics
Problem
Let
p
(
x
)
=
x
3
−
6
x
2
+
9
x
+
2
p(x)=x^{3}-6x^{2}+9x+2
p
(
x
)
=
x
3
−
6
x
2
+
9
x
+
2
. On which of the following intervals is the graph of
p
p
p
both increasing and concave down? a)
(
1
,
2
)
(1,2)
(
1
,
2
)
b)
(
−
∞
,
1
)
(-\infty,1)
(
−
∞
,
1
)
c)
(
3
,
∞
)
(3,\infty)
(
3
,
∞
)
d)
(
−
∞
,
2
)
(-\infty,2)
(
−
∞
,
2
)
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