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Mathematics
Mathematics
Problem
Define
f
(
x
)
=
∣
x
−
2
∣
f(x)=|x-2|
f
(
x
)
=
∣
x
−
2∣
for
−
3
≤
x
≤
5
-3\le x\le 5
−
3
≤
x
≤
5
and let
F
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
F(x)=\int_{-3}^{x} f(t)\,dt
F
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
. Determine whether
x
=
2
x=2
x
=
2
is an inflection point of
F
F
F
, and justify your answer briefly.
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