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Mathematics
Mathematics
Problem
Let
h
h
h
be a continuous function on
[
0
,
3
]
[0,3]
[
0
,
3
]
with
h
(
0
)
=
−
2
h(0)=-2
h
(
0
)
=
−
2
and
h
(
3
)
=
6
h(3)=6
h
(
3
)
=
6
. For which of the following values of
k
k
k
is it guaranteed that the equation
h
(
x
)
=
k
h(x)=k
h
(
x
)
=
k
has at least one solution in the interval
(
0
,
3
)
(0,3)
(
0
,
3
)
? a)
k
=
−
2
k=-2
k
=
−
2
b)
k
=
0
k=0
k
=
0
c)
k
=
6
k=6
k
=
6
d)
k
=
8
k=8
k
=
8
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