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Mathematics
Mathematics
Problem
A piecewise linear function
g
g
g
satisfies
g
(
0
)
=
2
g(0)=2
g
(
0
)
=
2
and
g
(
3
)
=
8
g(3)=8
g
(
3
)
=
8
, and is linear on the closed interval
[
0
,
3
]
[0,3]
[
0
,
3
]
. For
3
<
x
≤
5
3<x\le 5
3
<
x
≤
5
, the value of
g
g
g
remains constant at
8
8
8
. (a) Find
g
′
(
3
−
)
g'(3^-)
g
′
(
3
−
)
. (b) Find
g
′
(
3
+
)
g'(3^+)
g
′
(
3
+
)
. (c) Find
g
′
(
4
)
g'(4)
g
′
(
4
)
.
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