Behavior of Accumulation Functions Involving Area
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the behavior of
A
(
x
)
A(x)
A
(
x
)
if
f
(
x
)
f(x)
f
(
x
)
is positive over
[
a
,
b
]
[a, b]
[
a
,
b
]
?
QUESTION
What does a zero crossing of
f
(
x
)
f(x)
f
(
x
)
imply about
A
(
x
)
A(x)
A
(
x
)
?
QUESTION
What does
A
(
x
)
>
A
(
a
)
A(x) > A(a)
A
(
x
)
>
A
(
a
)
imply about
f
(
x
)
f(x)
f
(
x
)
on
[
a
,
x
]
[a, x]
[
a
,
x
]
?
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ANSWER
The net area under
f
(
x
)
f(x)
f
(
x
)
is positive. Greater accumulation indicates more positive area than negative.
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