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Mathematics
Problem
Let
f
(
x
)
=
x
3
−
6
x
+
2
f(x)=x^{3}-6x+2
f
(
x
)
=
x
3
−
6
x
+
2
. Which of the following intervals is guaranteed to contain a real zero of
f
f
f
? a)
(
1
,
2
)
(1,2)
(
1
,
2
)
b)
(
0
,
1
)
(0,1)
(
0
,
1
)
c)
(
3
,
4
)
(3,4)
(
3
,
4
)
d)
(
2.5
,
3.5
)
(2.5,3.5)
(
2.5
,
3.5
)
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