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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
{
x
2
−
4
x
,
0
≤
x
<
3
5
,
x
=
3
−
x
+
8
,
3
<
x
≤
5
.
g(x)=\begin{cases}x^{2}-4x,&0\le x<3\\5,&x=3\\-x+8,&3<x\le5\end{cases}.
g
(
x
)
=
⎩
⎨
⎧
x
2
−
4
x
,
5
,
−
x
+
8
,
0
≤
x
<
3
x
=
3
3
<
x
≤
5
.
Determine all
x
x
x
-values at which
g
g
g
attains its absolute minimum on the interval
[
0
,
5
]
[0,5]
[
0
,
5
]
.
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