AP Calculus AB Quiz
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INTEGRATION AND ACCUMULATION OF CHANGE
Question 1
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Define
A
(
x
)
=
∫
0
x
f
(
t
)
d
t
A(x)=\int_{0}^{x} f(t)\,dt
A
(
x
)
=
∫
0
x
f
(
t
)
d
t
. If
f
f
f
is increasing on
(
0
,
2
)
(0,2)
(
0
,
2
)
and decreasing on
(
2
,
5
)
(2,5)
(
2
,
5
)
, where is
A
A
A
concave up?
A
On
(
0
,
2
)
(0,2)
(
0
,
2
)
only
B
On
(
2
,
5
)
(2,5)
(
2
,
5
)
only
C
On
(
0
,
5
)
(0,5)
(
0
,
5
)
D
Wherever
f
(
x
)
>
0
f(x)>0
f
(
x
)
>
0
E
Wherever
A
(
x
)
>
0
A(x)>0
A
(
x
)
>
0
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