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Mathematics
Mathematics
Problem
The function
h
(
x
)
=
{
3
9
−
x
2
,
−
3
≤
x
≤
0
,
x
2
−
2
x
+
1
,
0
<
x
<
3
h(x)=\begin{cases}3\sqrt{9-x^{2}},&-3\le x\le 0,\\x^{2}-2x+1,&0<x<3\end{cases}
h
(
x
)
=
{
3
9
−
x
2
,
x
2
−
2
x
+
1
,
−
3
≤
x
≤
0
,
0
<
x
<
3
is defined on
[
−
3
,
3
]
[-3,3]
[
−
3
,
3
]
. Determine the absolute maximum value of
h
h
h
on
[
−
3
,
3
]
[-3,3]
[
−
3
,
3
]
.
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