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Mathematics
Problem
A twice-differentiable function
f
f
f
satisfies
f
′
′
(
x
)
=
6
x
−
12
f''(x)=6x-12
f
′′
(
x
)
=
6
x
−
12
for all real
x
x
x
. Determine the intervals on which the graph of
f
f
f
is concave upward and the intervals on which it is concave downward.
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