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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
,
x
≤
2
,
8
x
−
12
,
x
>
2.
f(x)=\begin{cases}x^{2}, & x\le 2,\\8x-12, & x>2.\end{cases}
f
(
x
)
=
{
x
2
,
8
x
−
12
,
x
≤
2
,
x
>
2.
Determine whether
x
=
2
x=2
x
=
2
is a point of local maximum, local minimum, or neither for
f
f
f
, and justify your answer.
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