1 Name: _____________________________ MTH129 Fall 2018 - FINAL EXAM A Show all work neatly on paper provided. Label all work. Place final answers on the answer sheet. PART I: Omit 1 complete question. Place an “X” on the problems & answer space you are omitting. 1. Find the inverse of the following functions: a. 𝑓(𝑥) = 2𝑥 − 3 b. 𝑓(𝑥) = 3𝑥 +1 𝑥−2 2. If 𝑓(𝑥) = 𝑥 2 − 2𝑥 + 3 and 𝑔(𝑥) = −3𝑥 + 4, find the following: a. (𝑓°𝑔)(𝑥) b. (𝑓°𝑔)(2) 3. Find the domain for the following expression: a) √𝑥 + 5 𝑏) 7𝑥 2 + 3𝑥 − 1 𝑐) 𝑥 2+4 𝑥 2−9 4. Find the radian measures of the angles with the given degree measures. a) 81° Find the degree measures of the angles with the given radian measures. b) 13𝜋 6 5. Solve the following equations: a) (5t) = 20 b) 6000 = 40(15)t 6. Expand the following logarithmic expressions: a. log(𝐴𝐵2 ) b. ln( 4 √3 ) 7. Describe how the graph of each function can be obtained from the graph f a. 𝑦 = 𝑓(𝑥) − 8 b. 𝑦 = 𝑓(𝑥 + 4) − 5 8. A real number t is given 𝑡 = 2𝜋 3 a. Find the reference number for t. b. Find the terminal point P(x,y) on the unit circle determined by t c. The unit circle is centered at __________________ and has a radius of _________________ PART II: Omit 1 complete question. Place an “X” on the problems & answer space you are omitting. 2 1. A sum of $7,000 is invested at an interest rate of 4 1 2 % per year, compounding monthly. (round all answers to the nearest cent) a. Find the amount of the investment after 2 1 2 years. b. How long will it take for the investment to amount to $12,000? c. Using the information in part (a), find the amount of the investment if compounded quarterly. 2. When a company charges price p dollars for one of its products, its revenue is given by 𝑅 = 𝑓(𝑝) = 500𝑝(30 − 𝑝) a. Create a quadratic function for price with respect to revenue. b. What price should they charge in order to maximize their revenue? c. What is the maximum revenue? d. What would be the revenue if the price was set at $10? e. Sketch a rough graph – indicate the intercepts and the maximum coordinates. 3. The charges for a taxi ride are an initial charge of $2.50 and $0.85 for each mile driven. a. Write a function for the charge of a taxi ride as a linear function of the distance traveled. b. What is the cost of a 12 mile trip? c. Find the equation of a line that passes through the following points: (1,-2) , (2,5) Express in 𝑦 = 𝑚𝑥 + 𝑏 form d. Graph part ( c ) 4. a. Divide the following polynomial and factor completely. 𝑃(𝑥) = 3𝑥 4 − 9𝑥 3 − 2𝑥 2 + 5𝑥 + 3; 𝑐 = 3 b. Given polynomial−𝑥 2 + 5𝑥 − 6, state the end behavior of its graph. c. Using the polynomial on part ( c ), would this g

1. 1
Name: _____________________________
MTH129 Fall 2018 - FINAL EXAM A
Show all work neatly on paper provided. Label all work. Place
final answers on the answer sheet.
PART I: Omit 1 complete question. Place an “X” on the
problems & answer space you are omitting.
1. Find the inverse of the following functions:
a. �(�) = 2� − 3
b. �(�) =
3� +1
�−2
2. If �(�) = � 2 − 2� + 3 and �(�) = −3� + 4, find the
following:
a. (�°�)(�) b. (�°�)(2)

2. 3. Find the domain for the following expression:
a) √� + 5 �) 7� 2 + 3� − 1 �)
� 2+4
� 2−9
4. Find the radian measures of the angles with the given
degree measures.
a) 81°
Find the degree measures of the angles with the given radian
measures.
b)
13�
6
5. Solve the following equations:
a) (5t) = 20
b) 6000 = 40(15)t
6. Expand the following logarithmic expressions:
a. log(��2 )

3. b. ln(
4
√3
)
7. Describe how the graph of each function can be obtained
from the graph f
a. � = �(�) − 8
b. � = �(� + 4) − 5
8. A real number t is given � =
2�
3
a. Find the reference number for t.
b. Find the terminal point P(x,y) on the unit circle determined
by t
c. The unit circle is centered at __________________ and has a
radius of _________________
PART II: Omit 1 complete question. Place an “X” on the
problems & answer space you are omitting.

4. 2
1. A sum of $7,000 is invested at an interest rate of 4
1
2
% per year, compounding monthly. (round all answers to
the nearest cent)
a. Find the amount of the investment after 2
1
2
years.
b. How long will it take for the investment to amount to
$12,000?
c. Using the information in part (a), find the amount of the
investment if compounded quarterly.
2. When a company charges price p dollars for one of its
products, its revenue is given by
� = �(�) = 500�(30 − �)
a. Create a quadratic function for price with respect to revenue.
b. What price should they charge in order to maximize their
revenue?
c. What is the maximum revenue?
d. What would be the revenue if the price was set at $10?

5. e. Sketch a rough graph – indicate the intercepts and the
maximum coordinates.
3. The charges for a taxi ride are an initial charge of $2.50 and
$0.85 for each mile driven.
a. Write a function for the charge of a taxi ride as a linear
function of the distance traveled.
b. What is the cost of a 12 mile trip?
c. Find the equation of a line that passes through the following
points: (1,-2) , (2,5) Express in � =
�� + � form
d. Graph part ( c )
4. a. Divide the following polynomial and factor completely.
�(�) = 3� 4 − 9� 3 − 2� 2 + 5� + 3; � = 3
b. Given polynomial−� 2 + 5� − 6, state the end behavior of its
graph.
c. Using the polynomial on part ( c ), would this graph have a
maximum or a minimum? State why.
5. An item cost $1.00 in 2000. The same item $1.37 in the year
2014. Let’s assume that the growth of the dollar
is following an exponential pattern. (Round rates to the 6th
decimal place; money to the nearest cent)
a. Find an exponential function that will model the data given
above.

6. b. How much would the item cost in 2010?
c. When would the item cost $1.50?
6. Given rational function � =
�2−�−2
�2−2�−3
, determine the following:
a. x intercept (s)
b. y – intercept(s)
c. vertical asymptote(s)
d. horizontal asymptote(s)
7. a. Determine if the following point lies on the unit circle
and state why it does or why it does not: (
4
5
, −
3
5
)
b. For the given value � = −
3�
4

7. : Find the values of sin t , cos t and tan t
c. For part ( b) state what quadrant the point land in.
8. a. A 20 foot ladder leans against a building so that the angle
between the ground and the ladder is 72°.
How high does the ladder reach on the building? (draw a sketch
to help you)
b. 5. Use the Law of Cosine and the Law of Sine to find the
remailing parts of the triangle:
� = 130°; � = 5; � = 7
3
FORMULAS:
�2 + �2 = � 2 � = −
�
2�
� =
−�±√�2−4��
2�

8. � = �(1 +
�
�
)(�∗ �) � = �0 + �(� − �0) ���� =
����
����
���2� + ���2� = 1 SOH CAH TOA
� = � =
∆�
∆�
� = ��
������ �2 = (� − ℎ) 2 + (� − �)2
�(�) = �0�
��
�2 = �2 + � 2 − 2�� ����
����
�
=
����

9. �
=
����
�
� − �0 = �(� − �0) �(�) = �(� − ℎ)
2 + �
Running head: HOOSIER MEDIA GROUP
6
HOOSIER MEDIA GROUP
Hoosier Media Group
Hoosier Media Inc. was founded in 2011 in Pleasantville. The
company makes annual revenue of approximately $43,000. Over
the past five years, the company has experienced significant
decline in the circulation of print newspaper which prompted
the need to lower the firm’s revenues by thirty percent.
However, despite accounting for five percent of the total
revenues, Hoosier Media had an increase in online revenues. In
order to determine the best techniques of enhancing the
organization’s operations, this paper focuses on the
comprehensive analysis of both external and internal factors
affecting the company.

10. Political factors affect both the regulatory policies as well as
the laws enacted by parliament to regulate media operations in
the country. With the new government in place, there are
prospects that laws will be amended, or new laws enacted that
may in one way or another impact the operations of Hoosier
Media Inc. These could be laws relating to taxes, environmental
policies, social laws etc.
Critique how well the organization adapts to change
There have been economic challenges that Hoosier Media Group
has been able to go through by adopting operational polices to
deal with the dynamics that have prompted changes within the
company in terms of its operations. The company has been able
to successfully adapt to changes by leveraging on its strengths
to counter the threats initially posed by the economic crisis.
Hoosier Media Inc. has also made it her corporate culture to
conform to the rules and regulations as set the government to
avoid legal issues that may otherwise result in closure of the
business (Hess, 2014)
This paper analyses how the company has been able to adapt to
change by looking at PEST and SWOT analysis and the
operations that have ensured the company remains competitive
in the industry. The SWOT analysis covers the Strengths,
Weakness, Opportunities and Threats. It is an effective tool to
use when analyzing performance especially from departmental
perspective; the strategies they employ, the threats they face
and the opportunities they have to better their processes
(Brooks, 2014).
Discuss the primary internal organizational considerations.
The SWOT analysis is categorized into internal strategic factors
and external strategic factors. In regard to internal strategic
factors, the paper discusses the strengths and weaknesses within
the organizations. External factors on the other hand include
opportunist and the threats faced by the company.

11. Strengths
The company not only enjoys a highly skilled labor force but
also has managed to retain her staff. There are training
programs and career development resources the company uses to
build its labor force. This has enabled the company to develop a
loyal employee support base that is motivated to give their best
effort in the best interest of the company.
The other strength is the outstanding performance of Hoosier
Media Group in the market. It has been successful in entering
new markets which has placed it in a good competitive position.
The new ventures have not only resulted in increased revenues
for the firm but also narrowed down the risk level within the
market in which it operates. The strong free flow cash has
provided Hoosier Media Group with resources it needs to
expand.
Weaknesses
There is a weakness in the time the firm takes to adopt new
technologies. Hoosier Media Inc. needs to invest more in new
technology to help improve the quality of the production. This
gap allows competitors to easily penetrate the market because
they have a loophole to exploit. The company has not properly
defined product positioning and selling position and this has
resulted in segment attack by rival firms. It is also important to
point out that the firm’s growth in the long term is significantly
being impacted by high inventory which forces the company to
invest more money in the channel (Nason, 2018).
Discuss the primary external organization considerations.
Opportunities
Hoosier Media Group, following the huge investment it made on
online platforms, is establishing a new customer base on online
platforms and channels. The new market has significantly

12. contributed to the revenues generated and through data analytics
the company can leverage of the new market by ensuring it
meets the needs of its customers with the intent of maximizing
on subscription and returns. With the improved economy after
the turbulent financial times in the past couple of years, Hoosier
Media Group can take this opportunity to capture new markets
and consolidate a larger customer base.
Threats
The market has become competitive due to the growing strength
of local distributors working for rival firms. This has a threat as
it seeks to lower the market share of Hoosier Media Group.
Also, competitors are adopting the latest technologies that are
efficient and effective hence disrupting the market and
increasing risks (Qureshi, Aziz, and Mian, 2017).
References
Brooks, G., Heffner, A., & Henderson, D. (2014). A SWOT
analysis of competitive knowledge from social media for a
small start-up business. The Review of Business Information
Systems (Online), 18(1), 23.
Hess, T. (2014). What is a media company? A
reconceptualization for the online world. International Journal
on Media Management, 16(1), 3-8.
Nason, R. S., & Wiklund, J. (2018). An assessment of resource-
based theorizing on firm growth and suggestions for the future.
Journal of Management, 44(1), 32-60.
Qureshi, M. S., Aziz, N., & Mian, S. A. (2017). How marketing
capabilities shape entrepreneurial firm’s performance? Evidence
from new technology-based firms in turkey. Journal of Global
Entrepreneurship Research, 7(1), 15.

13. NAME:
PART I PART II
1a 1a 6a
1b 1b 6b
2a 1c 6c
2b 2a 6d
3a 2b 7a
3b 2c
3c 2d 7b
4a 2e <graph>
4b 3a
5a 3b 7c
5b 3c 8a
6a 3d <graph> 8b
6b 4a
7a 4b
4c

14. 7b
5a
8a 5b
8b 5c
8c