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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
x
3
−
4
x
+
1
f(x)=x^{3}-4x+1
f
(
x
)
=
x
3
−
4
x
+
1
. Determine an open interval of length
1
1
1
inside
[
1
,
3
]
[1,3]
[
1
,
3
]
in which the equation
f
(
x
)
=
0
f(x)=0
f
(
x
)
=
0
is guaranteed to have at least one solution.
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