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Mathematics
Problem
For a twice-differentiable function
g
g
g
, it is known that
g
′
′
(
x
)
>
0
g''(x)>0
g
′′
(
x
)
>
0
on
(
−
3
,
1
)
(-3,1)
(
−
3
,
1
)
and
(
2
,
∞
)
(2,\infty)
(
2
,
∞
)
, while
g
′
′
(
x
)
<
0
g''(x)<0
g
′′
(
x
)
<
0
on
(
1
,
2
)
(1,2)
(
1
,
2
)
. Describe the concavity of
g
g
g
on these intervals and list all
x
x
x
-values that are candidates for points of inflection.
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