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Mathematics
Problem
Find the local extrema of the function
f
(
x
)
=
∣
x
−
2
∣
+
(
x
−
2
)
2
f(x)=|x-2| + (x-2)^2
f
(
x
)
=
∣
x
−
2∣
+
(
x
−
2
)
2
defined for all real
x
x
x
. State the value(s) of
x
x
x
at which the extremum occurs and specify whether it is a local maximum or a local minimum.
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