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Which condition of Rolle's theorem fails for f(x) = |x… | StemPy Lab
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Which condition of Rolle's theorem fails for f(x) = |x - 1| on [0, 2]?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Continuity and Differentiability
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Which condition of Rolle's theorem fails for
f
(
x
)
=
∣
x
−
1
∣
f(x) = |x - 1|
f
(
x
)
=
∣
x
−
1∣
on
[
0
,
2
]
[0, 2]
[
0
,
2
]
?
None fails, but the conclusion is false
f
f
f
is not continuous on
[
0
,
2
]
[0, 2]
[
0
,
2
]
f
f
f
is not differentiable at
x
=
1
x = 1
x
=
1
f
(
0
)
≠
f
(
2
)
f(0) \ne f(2)
f
(
0
)
=
f
(
2
)
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