This document provides instructions and requirements for a PowerPoint presentation project on a student's chosen career. The presentation must include 10-12 slides covering: an introduction of the student and research topic, an outline, background on the career path and reasons for choice, educational requirements, pay ranges in three regions, and a summary and conclusion slide. References must be in MLA format. The presentation will be graded based on inclusion of required elements, design features like themes and visual elements, transitions and animations, and correct spelling and grammar.

1. College Algebra MATH 107 Spring, 2015, V4.8
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MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and
other course materials as you work
on the exam, and you may use a calculator. You must complete
the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet
provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be
shown)
Problems #22–30 are Short Answer with work required to be
shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function.
1. ______

2. A. Domain [0, 4]; Range [–1, 3]
B. Domain [–1, 3]; Range [0, 4]
C. Domain [–1, 0]; Range [1, 4]
D. Domain [–1, 1]; Range [1, 4]
2. Solve: 19 3 3x x− = − 2. ______
A. No solution
B. 8
C. −2, 5
D. −2
2 4 -4
-2
-4

3. 2
4
-2
College Algebra MATH 107 Spring, 2015, V4.8
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3. Determine the interval(s) on which the function is increasing.
3. ______
A. ( ), 0.5−∞ − and (3, 6.5)
B. [– 2, 2]
C. (1, 5)
D. ( ), 1−∞ and ( )5, ∞
4. Determine whether the graph of 2xy += is symmetric with
respect to the origin,
the x-axis, or the y-axis. 4. ______
A. symmetric with respect to the x-axis only

4. B. symmetric with respect to the y-axis only
C. symmetric with respect to the origin only
D. not symmetric with respect to the x-axis, not symmetric with
respect to the y-axis, and
not symmetric with respect to the origin
5. Solve, and express the answer in interval notation: | 7 – 3x |
≤ 11. 5. ______
A. [–4/3, 6]
B. (–∞, –4/3]
C. (–∞, –4/3] ∪ [6, ∞)
D. (–∞, 6] ∪ [–4/3, ∞)
College Algebra MATH 107 Spring, 2015, V4.8
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6. Which of the following represents the graph of 9x − 4y = 36
? 6. ______
A. B.

5. C. D.
College Algebra MATH 107 Spring, 2015, V4.8
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7. Write a slope-intercept equation for a line parallel to the line
x – 3y = 8 which passes through
the point (– 12, 7). 7. ______
A.
1
11
3
y x= +
B.
1
3
3
y x= − +

6. C. 3 29y x= − −
D.
1
7
3
y x= +
8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function and it is one-to-one.
B. It is the graph of a function but not one-to-one.
C. It is not the graph of a function.
D. It is the graph of a parabolic relation.
College Algebra MATH 107 Spring, 2015, V4.8
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7. 9. Express as an equivalent expression: log (x + 2) + log 1 – 3
log y 9. ______
A.
3
log( 2)
log
x
y
+
B. ( )log 3 3x y+ −
C.
3
2
log
x
y

8. D.
3
log
3
x
y
10. Which of the functions corresponds to the graph? 10.
______
A. ( ) 3xf x e−= +
B. ( ) 3xf x e= +
C. ( ) 3xf x e= − +
D. ( ) 2xf x e−= +

9. College Algebra MATH 107 Spring, 2015, V4.8
Page 6 of 11
11. The percentage score on a test varies directly as the number
of correct responses. Bob
answered 27 questions correctly and earned a score of 36%.
What would Bob’s percentage score
have been if he had answered 48 questions correctly?
11. ______
A. 75%
B. 57%
C. 64%
D. 45%
12. The graph of y = f (x) is shown at the left and the graph of y
= g(x) is shown at the right. (No
formulas are given.) What is the relationship between g(x) and f
(x)?
12. ______

10. y = f (x) y = g(x)
A. g(x) = f (x – 2) – 1
B. g(x) = f (x – 2) + 1
C. g(x) = f (x + 2) + 1
D. g(x) = f (x – 1) + 2
2 4 -2 -4
-2
-4
2
4
2 4 -2 -4
-2

11. -4
2
4
College Algebra MATH 107 Spring, 2015, V4.8
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SHORT ANSWER:
13. Multiply and simplify: (9 – 4i)(1 + 2i).
Write the answer in the form a + bi, where a and b are real
numbers. Answer: ________
14. Solve, and write the answer in interval notation:
4
0
9
x
x
+
≤
−
. Answer: ________

12. 15. A bowl of soup at 195° F. is placed in a room of constant
temperature of 65° F. The
temperature T of the soup t minutes after it is placed in the
room is given by
T(t) = 65 + 130 e
– 0.075 t
Find the temperature of the soup 6 minutes after it is placed in
the room. (Round to the nearest
degree.)
Answer: ________
16. Find the value of the logarithm: 2
1
log
16
. Answer: ________
17. Solve:

13. 6 17 49x + = . Answer: ________
18. Suppose $1,500 is invested in an account at an annual
interest rate of 7.3% compounded
continuously. How long (to the nearest tenth of a year) will it
take the investment to double in
size? Answer: ________
19. Let f (x) = x
2
−−−− 10x + 33.
(a) Find the vertex. Answer: ________
(b) State the range of the function. Answer: ________
(c) On what interval is the function decreasing? Answer:
________
College Algebra MATH 107 Spring, 2015, V4.8
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20. Consider the polynomial P(x), shown in both standard form
and factored form.
4 3 21 1 7 1 1
( ) 2 ( 3)( 1)( 1)( 2)

14. 3 3 3 3 3
P x x x x x x x x x= − − + + − = − + + − −
(a) Which sketch illustrates the end behavior of the polynomial
function?
Answer: ________
(b) State the zeros of the function. Answer: ________________
(c) State the y-intercept. Answer: ________________
(d) State which graph below is the graph of P(x). Answer:
________
GRAPH A GRAPH B
GRAPH C GRAPH D
A.
B. C. D.
vvvv

15. vvvv
vvvv vvvv
College Algebra MATH 107 Spring, 2015, V4.8
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21. Let
2 18
( )
5
x
f x
x
−
=
−
.
(a) State the domain. Answer: _________________
(b) State the vertical asymptote(s). Answer:
_________________

16. (c) State the horizontal asymptote. Answer:
_________________
(d) Which of the following represents the graph of
2 18
( )
5
x
f x
x
−
=
−
? Answer: ______________
GRAPH A. GRAPH B.
GRAPH C. GRAPH D.
College Algebra MATH 107 Spring, 2015, V4.8
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17. SHORT ANSWER, with work required to be shown, as
indicated.
22. Simplify:
( )
3
7 3 5
2
2a b a b
b
−
−
−
. Show work.
23. Points (6, 5) and (4, –9) are endpoints of the diameter of a
circle.
(a) What is the length of the diameter? Give the exact answer,
simplified as much as possible.
Show work.
(b) What is the center of the circle?

18. (c) What is the equation of the circle?
24. Find the equation for a line which passes through the points
(–5, 9) and (–1, 1) . Write the
equation in slope-intercept form. Show work.
25. A salesperson earns a base salary of $1,820 per month and a
commission of 6.5% on the
amount of sales. If the salesperson has a paycheck of $3,993.60
for one month, what was the
amount of sales for the month? Show work.
26. Let f (x) = 2x
2
– 9 and g(x) = x – 7.
(a) Find the composite function ))(( xgf o and simplify. Show
work.
(b) Find ( ) (5)f go . Show work.
27. Find the exact solutions and simplify as much as possible:
5x
2

19. + 13 = 2x. Show work.
28. Given the function
1
( ) 5
8
f x x= + , find a formula for the inverse function. Show work.
College Algebra MATH 107 Spring, 2015, V4.8
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29. Chocolate Confections, Inc. has determined that when x
chocolate cakes are made daily, the
average cost per chocolate cake (in dollars) is given by
C(x) = 0.001 x
2
– 0.15x + 16.50
(a) What is the average cost per cake if 20 chocolate cakes are
made daily?
(b) How many chocolate cakes should be made daily in order to

20. minimize the average cost per
cake? Show work.
30. Solve:
2
5 8
0
4 16
x
x x
−
+ =
− −
. Show work.
BCIS / COSC- Final Exam Project
Power Point Presentation
Instructions
Your PowerPoint Presentation topic is your career choice.
PowerPoint Research Presentation Requirements
1. You will develop a PowerPoint presentation a minimum of 10
slides and a maximum of 12 slides with the following
requirements:
a. Each student will individually prepare and submit the slides

21. to Blackboard.
b. On this project, the student will define his/her career choice,
including at least the career path background, education, and
pay scale for at least three (3) different regions in the country.
c. It must include 3 references from websites you have
researched. Examples of websites include:
· http://www.texasrealitycheck.com/
· www.jobs.com
· www.monster.com
· www.indeed.com
· www.careerbuilder.com
· http://www.job-hunt.org/online-job-search-guide.shtml
· http://www.twc.state.tx.us/
You are not limited to these websites if you have a different one
you can use it but it must be referenced in MLA format.
e. The student should submit this project to Blackboard by the
due date/time as scheduled by the instructor.
Creating the PowerPoint slides
Create an outline from your topics and from the outline, develop
aPowerPoint presentation that contains at least 10 slides.
· Use PowerPoint features such as:
· Decorative WordArt, SmartArt with text, Shape with text or
picture, correct spelling
· Use transitions on all slides and Animation on at least 1 object
and 1 text area.
· Use at least 4 or more different styles of slide layouts.
· Remember only 7 lines per slide, no more than 7 words on
each line (7X7 rule)
Organizingyour slides
1. Slide 1– (Title Slide)Introduction.
a. Tell everyone about yourself and explain your research and
why you’re interested in your chosen career.
2. Slide 2- Outline of topics you’re going to discuss.
3. Slide 3-7–(Body)
a. Career path information
b. Reasons for your career choice and career background

22. c. The educational requirements for your career
d. Pay range available for career field. (Three different regions
of the country following the instructions as stated on item (1b
above)
e. Note: Each slide should provide supporting information and
examples.
4. Slide 8 – 9 (Summary)
a. The student will present a conclusion or final statement that
summarizes how you think or feel about your chosen career.
b. Anything appropriate you want your audience to remember.
5. Slide 10 –(References) must be in MLA format
Rubric for PowerPoint Presentation Grading
Note: This presentation must be suitable for a public audience,
without being offensive or improper. Presentations that are
offensive or improper will receive a grade of zero (0).
#
Required Elements
10 Points Each
Presentation
1
Title slide to include Introduction:Your name, Class and Date
2
Final slide/Sources (references need to in MLA format)
Content
3
Supportive details (Body of presentation with at least 4 slides)
Design

23. 4
Easy to view overall (text is only an outline, objects are un-
crowded)
5
Design theme (use a background theme from the Design tab)
6
ClipArt and/or picture& Word Art
7
SmartArt, with text appropriate to the topic
8
Shape, with text or picture appropriate to the topic inside the
shape
9
Transition on ALL slides / Animation on at least 1 object and 1
text area
Mechanics
10
Correct spelling and standard grammar (point deducted for each
error)