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Mathematics
Mathematics
Problem
Let
h
h
h
be continuous on
[
0
,
6
]
[0,6]
[
0
,
6
]
with
h
(
0
)
=
−
1
,
h
(
2
)
=
−
2
,
h
(
4
)
=
3
h(0)=-1,\;h(2)=-2,\;h(4)=3
h
(
0
)
=
−
1
,
h
(
2
)
=
−
2
,
h
(
4
)
=
3
, and
h
(
6
)
=
5
h(6)=5
h
(
6
)
=
5
. Which interval must contain at least one number
x
x
x
for which
h
(
x
)
=
0
h(x)=0
h
(
x
)
=
0
? a)
(
1
,
5
)
(1,5)
(
1
,
5
)
b)
(
2
,
4
)
(2,4)
(
2
,
4
)
c)
(
0
,
2
)
(0,2)
(
0
,
2
)
d)
(
4
,
6
)
(4,6)
(
4
,
6
)
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