Page 4 of 4Math 107-Quiz 5I have completed this assi.docx

of 4
Math 107-Quiz 5
I have completed this assignment myself; working
independently and not consulting anyone except the instructor.
Write your name here:
Multiple-choice: Select the correct answer and write it in the
space provided.
Do not show work; write only one of the letters A, B, C, or D.
01. (4 pts) Given, find . Ans: ____
A.
B.
C.
D. None of the above
02. (4 pts) Let and Find. Ans: ____

A.
B.
C.
D.
03. (4 pts) Find the formula for the inverse of the function: .
Ans: ___
A.
B.
C.
D.
04. (4 pts) Solve the equation: . Ans: ____
A.
B.
C.
D.

05. (4 pts) Find Ans:____
A. 4
B.
C.
D.
06. (4 pts) Convert to an exponential equation: logx = 15
Ans: ____
A. x = e15
B. x15 = 10
C. x = 1510
D. x = 1015
07. (4 pts) Convert to a logarithmic form: 49 = 7x.
Ans: _____
A.
B.
C.
D.

08. (4 pts) Convert to a logarithmic form: r = es. Ans:
____
A. logs = r
B. logr = s
C. lnr = s
D. lns = r
09. (15 pts) Consider the functions and .
(a) State the Domain of f(x)
(b) State the Domain of g(x)
(c) (6 pts) Find the composition and simplify the result.
(d) State the Domain of
10. (12 points) Which of the following functions are one-to-
one? (No work required)
(a) f(x) = x2-1 one-to-one Yes ____, No ____
(b) f(x) = x3 one-to-one Yes ____, No ____
(c) f(x) =|x-1| one-to-one Yes ____, No ____
(d) f(x) = one-to-one Yes ____, No ____

11. (16 pts) Let .
(a) Find the Domain and Range of f(x).
(b) (6 pts) Find f-1, the inverse function of f. (Show work)
(c) Give the Domain and Range of f-1.
12. (18 pts) Let . (No work required)
(a) Which describes how the graph of f can be obtained from the
graph of y = ex ? Choice: ________
A. Shift the graph of y = ex to the left by 1 unit and up
by 2 units.
B. Shift the graph of y = ex to the right by 1 unit and
up by 2 units.
C. Reflect the graph of y = ex across the x-axis and
shift up by 2 units.
D. Reflect the graph of y = ex across the y-axis and
shift up by 2 units.
(b) What is the domain of f ?
(c) What is the range of f ?
(d) What is the horizontal asymptote?
(e) What is the y-intercept? State the approximation to 2

decimal places (i.e., the nearest hundredth).
(f) Draw the graph of f, using a graphing utility.
13. (7 points) Compound Interest Formula: , P = principal; r =
rate as a decimal; t the number of years; n the number it
compounds each year.
Suppose an amount of $10,000 is deposited at 2.6%
compounded quarterly. It will grow to what amount in 6 years?
(Show work and give answer to the nearest cent)
(
)
h
h
f
x
y
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3
h
h
14
4
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(
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1
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-

+
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3
,
11
-
1
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3
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11
81
log
3
4
1
4
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1
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(
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7
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-
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f
7
49
log
=

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=
49
log
7
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7
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=
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(
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(

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1
Running Head: TREATMENT PROTOCOLS 1
TREATMENT PROTOCOLS 6
Treatment Protocols: COPD
Name
Institution

Abstract
Chronic Obstructive Pulmonary Disease (COPD) is a general
word that define lung diseases. Among them are chronic
bronchitis, asthma, and emphysema. More than 30 million
citizens in the USA have been diagnosed with COPD. However,
half of them have the COPD symptoms but unfortunately, do not
know it. With the help of two scholarly articles, this paper
seeks to expound more on treatment protocols for COPD.
Treatment of COPD aims at controlling the symptoms and not in
curing the disease. Also, symptoms and causes of the disease
will be explored.
Some vital signs of COPD include frequent coughing that
may contain sputum, breathlessness, tightness in the chest and
wheezing. Most COPD cases are associated with inhaling
pollutants, for example, smoking cigarettes and pipes and also
second-hand smoking. Also, dust, fumes, and chemicals in work
environments contribute to the high cases of COPD. Genetics
can also take part in developing COPD even if one has never
smoked (document, 2015).
Treatment Protocol
Treatment of COPD seeks to accomplish some goals. These
are:
· Limit the symptoms which may include shortness of breath
through the use of medicines.
· Slowing down the spread of the ailment by giving up smoking
and shunning other causes like air pollution.
· Avoid and prevent flare-ups(exacerbations) using medications
and other treatments.
· Increase general health through consistent activity.

In the treatment of the chronic obstructive pulmonary disease, it
is important to note that the cure of this disease is yet to be
found. The procedure carried out only aids in slowing down the
progression of the disease, the damage caused by the disease
and controlling the symptoms. Some of the treatment that can be
offered includes;
Stopping Smoking
As mentioned in the causes of COPD disease, smoking
contributes most to this disease. For individuals with COPD and
might be smoking, quitting would be the best treatment.
However, the damage already caused to the lungs cannot be
reversed but quitting smoking helps to avert additional harm to
the lungs. This treatment is mostly effective in the early stages
of COPD, but even those with progressive stages of COPD may
benefit from giving up smoking (Choices, 2016).
Inhalers and Medications
An inhaler is a device that aids in breathing for patients
experiencing breathing difficulties. An inhaler delivers
medication directly into the lungs as the individual breathes in.
There are several types of inhalers depending on the stage of
COPD.
Short-acting bronchodilator inhalers. As the name
suggests, these inhalers help in widening and relaxing the air
paths which makes breathing easier. Short-acting bronchodilator
inhalers are the first treatment used for people diagnosed with
COPD. Examples of these inhalers are terbutaline and
salbutamol (document, 2015). These inhalers are meant to be
used when one feels breathless, with a maximum of four times
in a day.
Long-acting bronchodilator inhalers. These inhalers have
similar functions to the short-acting inhalers. However, long-
acting bronchodilator inhaler is used once or twice in a day with
each dose lasting for 12 hours. Examples of these inhalers
include formoterol and salmeterol.
Steroid inhalers. This type of inhaler may be included in
treatment for COPD if when taking long-acting bronchodilator

inhalers one still gets breathless or experience frequent flare-
ups. These inhalers have corticosteroid medication that helps
reduce inflammation in the airways (document, 2015).
Medication can also be offered in cases where the inhalers have
failed to control the symptoms. The medication is informed of
capsules or tablets. Examples of these tablets are theophylline
tablets which ease and opens up the airpaths and is taken twice
in a day. Mucolytic tablets help to make the phlegm in the inner
throat easier and thinner to cough out. Mucolytic tables are
taken by patients with persistent chest cough that have thick
mucus, usually three times in a day. Antibiotics may also be
administered where the patient has signs of a chest infection
(Choices, 2016).
Pulmonary Rehabilitation
Pulmonary Rehabilitition is a unique program of exercise and
education which helps people with lung diseases like COPD.
This program aims at improving the patients’ self-confidence,
emotional welfare and also improve the amount of exercise one
can do before running out of breath. The program involves
physical exercise training such as strength exercises, walking
and cycling, advice on diet, emotional and psychological
support and provision of education of COPD for the patients and
their families (Choices, 2016). The program is offered by
healthcare professionals such as dietitians and physiotherapists.
Surgery
This type of treatment is suitable for individuals with extreme
COPD and where medication has failed to control the
symptoms. Three operations can be carried out;
Lung Volume Reduction Surgery. An operation aimed at
removing a section of lung that is damaged. This making
breathing easier and comfortable by allowing the healthy parts
to work better.
Bullectomy. This type of operation is performed to remove
a pocket of air from one of the lungs. This makes breathing
more comfortable by allowing the lungs to work better
(document, 2015).

Lung Transplant. This is a procedure that seeks to eliminate a
damaged lung and replace it with a healthy one usually from a
donor.
Supplemental Oxygen
Oxygen can be provided through a mask or nasal tubes at
homes. These are for patients with low levels of oxygen in their
blood. However, it is not a treatment for symptoms like
breathlessness but only helps to stop oxygen levels in blood
from becoming very small. Supplemental oxygen can contribute
to maintaining normal body functioning, improve sleep and
relieve mood swings, prevent risks of heart failures for people
that have severe lung diseases and increase physical strength
and mental alertness (document, 2015).
Conclusion
Treatment of COPD aims at controlling the symptoms and not in
curing the disease. It should be noted that as most of COPD
diseases results from smoking, victims of the diseases should
have the urge to quit smoking rather than waiting on anyone to
stop them. Exercises and education should be regular to assist
victims in developing confidence and welfare to them. However,
if these simple treatment protocols have failed, other treatment
procedures can be offered as discussed above. More research
should be carried out so that a permanent cure can be found for
the COPD diseases rather than controlling the systems. This
would be helpful to patients whose COPD levels is at the late
stages.

References
Choices, N. (2016, September 12). Treatments for COPD.
Retrieved March 22, 2017, from
http://www.nhs.uk/conditions/chronic-obstructive-pulmonary-
disease/pages/treatment.aspx
document. (2015). How is COPD treated? Retrieved March 22,
2017, from http://www.lung.org/lung-health-and-diseases/lung-
disease-lookup/copd/diagonising-treating-and/how-is-copd-
treated.html

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