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MATH 1141
Common Final Examination
Free Response Section
Spring, 1996
This exam is divided into two parts. These pages contain Part II which consists of 6 free
response questions.
Please show all of your work on the problem. We will not grade loose paper.
•
If you are basing your answer on a graph on your calculator, sketch a picture of your
graph on your sheet and be sure to label your window.
•
Make sure that your name appears on each page.
At the end of the examination you MUST hand in this test booklet and all
scratch paper.
PROBLEM
1
2
3
4
5
6
GRADE
FREE RESPONSE SCORE:
Name:
Student No:
Instructor:
Section No:
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View Full DocumentMATH 1141
FINAL EXAM
Name:
1. Let
f
(
x
) be a continuous function on the interval [

5
,
5]. The derivatives of
f
(
x
)
have the properties indicated in the following table.
x
[

5
,

1)

1
(

1
,
0)
0
(0
,
2)
2
(2
,
5]
f
±
(
x
)
>
0
0
<
0
<
0
<
0
0
>
0
f
±±
(
x
)
<
0
0
<
0
0
>
0
>
0
>
0
(a) On what intervals is
f
(
x
) increasing and on what intervals is it decreas
ing?
(b) On what intervals is the graph of
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 Spring '08
 XIU
 Math

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