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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
−
x
2
+
4
x
0
≤
x
≤
2
,
3
x
−
4
2
<
x
≤
4.
f(x)=\begin{cases}-x^{2}+4x & 0\le x\le 2,\\ 3x-4 & 2< x\le 4.\end{cases}
f
(
x
)
=
{
−
x
2
+
4
x
3
x
−
4
0
≤
x
≤
2
,
2
<
x
≤
4.
Determine the absolute maximum value of
f
f
f
on
[
0
,
4
]
[0,4]
[
0
,
4
]
. a)
4
4
4
b)
5
5
5
c)
8
8
8
d)
2
2
2
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