AP Calculus AB Quiz
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ANALYTICAL APPLICATIONS OF DIFFERENTIATION
Question 1
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f
f
f
is concave up on
(
−
3
,
1
)
( -3,1)
(
−
3
,
1
)
and concave down on
(
1
,
5
)
(1,5)
(
1
,
5
)
, and
f
′
(
x
)
<
0
f'(x)<0
f
′
(
x
)
<
0
for all
x
x
x
in
(
−
3
,
5
)
( -3,5)
(
−
3
,
5
)
. Which is true?
A
f
f
f
is decreasing on
(
−
3
,
5
)
( -3,5)
(
−
3
,
5
)
and has an inflection point at
x
=
1
x=1
x
=
1
.
B
f
f
f
is increasing on
(
−
3
,
5
)
( -3,5)
(
−
3
,
5
)
and has an inflection point at
x
=
1
x=1
x
=
1
.
C
f
f
f
has a local minimum at
x
=
1
x=1
x
=
1
.
D
f
f
f
has a local maximum at
x
=
1
x=1
x
=
1
.
E
f
f
f
is constant on
(
−
3
,
1
)
( -3,1)
(
−
3
,
1
)
.
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