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Mathematics
Mathematics
Problem
A piecewise‐linear function
g
g
g
passes through the points
(
0
,
0
)
(0,0)
(
0
,
0
)
,
(
2
,
3
)
(2,3)
(
2
,
3
)
,
(
5
,
3
)
(5,3)
(
5
,
3
)
, and
(
8
,
−
1
)
(8,-1)
(
8
,
−
1
)
in that order. Identify all open intervals on
(
0
,
8
)
(0,8)
(
0
,
8
)
where
f
(
x
)
f(x)
f
(
x
)
is positive if
g
′
(
x
)
=
f
(
x
)
g'(x)=f(x)
g
′
(
x
)
=
f
(
x
)
.
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