AP Calculus AB Quiz
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ANALYTICAL APPLICATIONS OF DIFFERENTIATION
Question 1
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If
f
′
′
(
x
)
>
0
f''(x)>0
f
′′
(
x
)
>
0
for
x
<
1
x<1
x
<
1
and
f
′
′
(
x
)
<
0
f''(x)<0
f
′′
(
x
)
<
0
for
x
>
1
x>1
x
>
1
, where is
f
f
f
concave up and concave down?
A
Concave up on
(
−
∞
,
1
)
(-\infty,1)
(
−
∞
,
1
)
; concave down on
(
1
,
∞
)
(1,\infty)
(
1
,
∞
)
B
Concave up on
(
1
,
∞
)
(1,\infty)
(
1
,
∞
)
; concave down on
(
−
∞
,
1
)
(-\infty,1)
(
−
∞
,
1
)
C
Concave up on
(
−
∞
,
∞
)
(-\infty,\infty)
(
−
∞
,
∞
)
; concave down on no interval
D
Concave up on no interval; concave down on
(
−
∞
,
∞
)
(-\infty,\infty)
(
−
∞
,
∞
)
E
Concave up where
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
and concave down where
f
′
(
x
)
<
0
f'(x)<0
f
′
(
x
)
<
0
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