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Mathematics
Problem
Let
f
(
x
)
=
x
3
−
4
x
+
1
f(x)=x^{3}-4x+1
f
(
x
)
=
x
3
−
4
x
+
1
. Determine whether there exists a number
c
c
c
in the interval
[
1
,
2
]
[1,2]
[
1
,
2
]
such that
f
(
c
)
=
0.5
f(c)=0.5
f
(
c
)
=
0.5
, and briefly justify your answer.
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