Working With the Intermediate Value Theorem
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Verify IVT:
f
(
x
)
=
x
2
−
4
f(x) = x^2 - 4
f
(
x
)
=
x
2
−
4
on
[
0
,
3
]
[0, 3]
[
0
,
3
]
for
N
=
0
N = 0
N
=
0
.
QUESTION
Does the IVT guarantee a unique value
c
c
c
?
QUESTION
What is required for the Intermediate Value Theorem to apply?
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ANSWER
The function must be continuous on the closed interval
[
a
,
b
]
[a, b]
[
a
,
b
]
. Continuity ensures no gaps or jumps that could skip intermediate values.
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