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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
−
4
x
+
3
,
0
≤
x
≤
2
,
5
−
2
x
,
2
<
x
≤
4.
f(x)=\begin{cases}x^{2}-4x+3,&0\le x\le 2,\\5-2x,&2<x\le 4.\end{cases}
f
(
x
)
=
{
x
2
−
4
x
+
3
,
5
−
2
x
,
0
≤
x
≤
2
,
2
<
x
≤
4.
Determine the absolute minimum value of
f
f
f
on the closed interval
[
0
,
4
]
[0,4]
[
0
,
4
]
.
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