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Mathematics
Problem
A continuous function
h
h
h
is defined on
[
0
,
6
]
[0,6]
[
0
,
6
]
with the following values:
h
(
0
)
=
−
2
h(0)=-2
h
(
0
)
=
−
2
,
h
(
2
)
=
3
h(2)=3
h
(
2
)
=
3
,
h
(
4
)
=
−
5
h(4)=-5
h
(
4
)
=
−
5
, and
h
(
6
)
=
4
h(6)=4
h
(
6
)
=
4
. Give two disjoint open subintervals of
[
0
,
6
]
[0,6]
[
0
,
6
]
, each of which must contain at least one zero of
h
h
h
.
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