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Mathematics
Mathematics
Problem
On the interval
[
0
,
5
]
[0,5]
[
0
,
5
]
the function
h
h
h
is given by
h
(
x
)
=
{
3
x
+
2
,
0
≤
x
≤
2
,
(
x
−
4
)
2
,
2
<
x
≤
5.
h(x)= \begin{cases} 3x+2, & 0\le x\le 2,\\ (x-4)^{2}, & 2< x\le 5. \end{cases}
h
(
x
)
=
{
3
x
+
2
,
(
x
−
4
)
2
,
0
≤
x
≤
2
,
2
<
x
≤
5.
Determine the minimum value of
h
h
h
on
[
0
,
5
]
[0,5]
[
0
,
5
]
.
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