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Mathematics
Mathematics
Problem
Consider the function
f
f
f
defined on
[
−
2
,
3
]
[-2,3]
[
−
2
,
3
]
by
f
(
x
)
=
{
x
2
+
4
x
+
5
,
−
2
≤
x
≤
1
,
6
x
−
x
2
,
1
<
x
≤
3.
f(x)= \begin{cases} x^{2}+4x+5, & -2\le x\le 1,\\ 6x-x^{2}, & 1<x\le 3. \end{cases}
f
(
x
)
=
{
x
2
+
4
x
+
5
,
6
x
−
x
2
,
−
2
≤
x
≤
1
,
1
<
x
≤
3.
Determine the absolute maximum value of
f
f
f
on the interval
[
−
2
,
3
]
[-2,3]
[
−
2
,
3
]
.
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