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Mathematics
Problem
Let
F
F
F
be a twice-differentiable function whose derivative is
f
(
x
)
=
(
x
−
2
)
(
x
+
1
)
f(x)=(x-2)(x+1)
f
(
x
)
=
(
x
−
2
)
(
x
+
1
)
. On which interval is
F
F
F
concave down? a)
(
0.5
,
∞
)
(0.5,\infty)
(
0.5
,
∞
)
b)
(
−
∞
,
0.5
)
(-\infty,0.5)
(
−
∞
,
0.5
)
c)
(
−
∞
,
0
)
(-\infty,0)
(
−
∞
,
0
)
d)
(
−
1
,
2
)
(-1,2)
(
−
1
,
2
)
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