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Mathematics
Problem
Let
p
p
p
be twice differentiable with
p
′
′
(
x
)
=
x
2
−
4
x
+
3
p''(x)=x^{2}-4x+3
p
′′
(
x
)
=
x
2
−
4
x
+
3
. For which values of
x
x
x
is the graph of
p
p
p
concave up? a)
1
<
x
<
3
1<x<3
1
<
x
<
3
b)
x
≤
1
or
x
≥
3
x\le 1\text{ or }x\ge 3
x
≤
1
or
x
≥
3
c)
x
<
1
or
x
>
3
x<1\text{ or }x>3
x
<
1
or
x
>
3
d)
x
<
1
x<1
x
<
1
only
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