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Winchell, Daniel – Homework 11 – Due: Nov 7 2006, 3:00 am – Inst: Karakhanyan
1
This
printout
should
have
19
questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
The due time is Central
time.
001
(part 1 oF 1) 10 points
IF
f
is a continuous Function on (

5
,
3)
whose graph is
2

2

4
2
4
which oF the Following properties are satisfed?
A.
f
has exactly 1 local maximum,
B.
f
has exactly 2 in±ection points,
C.
f
0
(
x
)
<
0 on (

1
,
1).
1.
none oF them
2.
A and C only
3.
C only
4.
A and B only
5.
all oF them
6.
A only
7.
B and C only
8.
B only
002
(part 1 oF 1) 10 points
IF
f
is the Function whose graph is given by
2
4
6
2
4
6
which oF the Following properties does
f
have?
A. local minimum at
x
= 4
,
B. di²erentiable at
x
= 2
.
1.
A only
2.
both oF them
3.
neither oF them
4.
B only
003
(part 1 oF 1) 10 points
IF
f
is a continuous Function on (

4
,
4)
whose graph is
2
4

2

4
2
4
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2
which one of the following properties is NOT
satisFed?
1.
f
0
(
x
)
<
0 on (2
,
4)
2.
f
00
(
x
)
>
0 on (

4
,

2)
3.
f
has exactly 3 critical points
4.
f
00
(
x
)
<
0 on (0
,
2)
5.
f
has exactly 1 local maximum
6.
(0
,
1) is an in±ection point
004
(part 1 of 1) 10 points
If
f
is a function on (

4
,
4) having exactly
three critical points and the sign of
f
0
, f
00
are
given in

2
0
2
f
0
>
0
f
0
<
0
f
0
<
0
f
0
<
0
f
00
<
0
f
00
>
0
f
00
<
0
decide which of the following could be the
graph of
f
.
1.
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 Fall '08
 RAdin

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