Math1500Fall2022Exam1A
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Date
Jan 9, 2024
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Math 1500: Exam 1
Instructor: Dustin Belt
September 21, 2022
Version A
Instructions:
•
This exam has 9 pages containing 28 problems,
which are worth a total of 100 points. Please make
sure that all pages are included.
•
Fill in your name and student ID number on the
provided scan tron answer sheet.
•
Questions 1-6 are True/False Questions while
Questions 7-28 are Multiple Choice Questions.
Your answers to these questions
must be en-
tered
into
the
provided
Student
Answer
Sheet
. You may also wish to mark your answer
on your exam booklet, but only responses cor-
rectly recorded on the Student Answer Sheet will
be graded. Be sure to indicate your answer on the
Student Answer Sheet by completely filling in the
appropriate letter.
•
Indicate the letter of your Discussion Section in
the table below.
Failing to do this correctly will
result in all sorts of ill will wished upon you by
the graders and absolves them any responsibility
should your exam be lost.
•
Have your MUID card out and visible on your
desk at all times.
•
You may use a 3”
×
5” note card. No other notes,
books, calculators, or other resources are allowed.
•
Turn off and put away your cell phone.
•
Make sure there are no loose papers or books in
your general area.
•
Read each problem carefully.
•
You have 60 minutes to complete this exam.
Good luck!
Questions
Points
Score
1-28
100
Indicate your Discussion Section:
Time
Instructor
Section
8:00am
Noguera Rodriguez
A
10:00am
Gregory
E
10:00am
Flores
F
11:00am
Gregory
G
11:00am
Flores
H
11:00am
Lisk
J
2:00pm
Cairatti
K
10:00am
Moore
M
2:00pm
Noguera Rodriguez
P
3:00pm
Allbritain
Q
3:00pm
Katz
R
1:00pm
Moore
S
1:00pm
Cairatti
V
1:00pm
Katz
W
This page is blank. Mostly.
Math 1500: Fall 2022
Exam 1 Version A
Page 1 of 9
TRUE/FALSE (2 points each)
Determine whether each of the following statements is (A) True or (B) False. In order to qualify
as true, a statement must always be true, and not simply hold in some cases. No justification is
necessary.
No partial credit will be given.
Indicate the correct answer on the provided Student
Answer Sheet.
Question 1.
(2 points)
If
f
(
x
)
is a function such that
lim
x
→
3
+
f
(
x
)
exists and
lim
x
→
3
-
f
(
x
)
exists,
then
lim
x
→
3
f
(
x
)
also exists.
A.) True
B.) False
Question 2.
(2 points)
If
f
(
x
)
and
g
(
x
)
both functions that are continuous for all
x
, then the
function
h
(
x
) =
f
(
x
) +
g
(
x
)
is also continuous for all
x
.
A.) True
B.) False
Question 3.
(2 points)
If
f
(
x
)
is continuous at
x
= 7
and
g
(
x
)
is continuous at
x
= 7
, then the
function
h
(
x
) =
f
(
x
)
g
(
x
)
is also continuous at
x
= 7
.
A.) True
B.) False
Question 4.
(2 points)
If
lim
x
→
5
f
(
x
) = 36
, then
lim
x
→
5
f
(
x
) = 6
.
A.) True
B.) False
Question 5.
(2 points)
If
f
(
x
)
is continuous at
x
= 4
, then
f
(
x
)
is also differentiable at
x
= 4
.
A.) True
B.) False
Question 6.
(2 points)
If
y
=
f
(
x
)
has a horizontal asymptote
y
= 3
, then
f
(
x
)
is never equal
to
3
.
A.) True
B.) False
Math 1500: Fall 2022
Exam 1 Version A
Page 2 of 9
MULTIPLE CHOICE (4 points each)
For each of the following questions, indicate the correct answer on the provided Student Answer
Sheet. No explanation is necessary. No partial credit will be given.
Question 7.
(4 points)
In exploring the function
f
(
x
)
, the following table of values was obtained:
x
f
(
x
)
2
.
9
1
.
4871
2
.
95
1
.
4936
2
.
99
1
.
4972
2
.
995
1
.
4985
2
.
999
1
.
4993
x
f
(
x
)
3
.
1
-
1
.
4765
3
.
05
-
1
.
4874
3
.
01
-
1
.
4889
3
.
005
-
1
.
4956
3
.
001
-
1
.
4974
Based on this information, what is the best conclusion that can be made about the
lim
x
→
3
f
(
x
)
?
A.)
lim
x
→
3
f
(
x
)
is about
1
.
5
B.)
lim
x
→
3
f
(
x
)
probably exists, but it is impossible to tell what its value will be from this
information.
C.)
lim
x
→
3
f
(
x
)
most likely does not exist.
D.)
lim
x
→
3
f
(
x
)
will mot likely be the same as
f
(3)
E.)
lim
x
→
3
f
(
x
)
is about
3
Question 8.
(4 points)
Consider the graph of the function
y
=
f
(
x
)
given below.
What is
lim
x
→
3
f
(
x
)
?
A.)
0
B.)
1
C.)
2
D.)
3
E.) This limit does not exist.
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