This document provides information and instructions for a College Algebra exam. It includes 30 problems - 12 multiple choice and 18 short answer. The multiple choice section covers topics like domains, ranges, functions, and graphs. The short answer section requires showing work for problems involving algebra, functions, equations, and other concepts. Students may use their text and a calculator during the open book exam.
Write solution for these problems -Is targeting only mommy blo.docxherbertwilson5999
Write solution for these problems
-Is targeting only mommy bloggers is a good idea and why?
-how would J&J guarantee that these bloggers won't give a bad feedback?
-if J&J announced about their product only through social media, then how would it reach the other people who don't use social media?
-do you see any value in offering this type of incentive for the users? or, is all the benefit for the company only?
MATH 115 Precalculus Fall, 2018, V1.4
Page 1 of 7
MATH 115 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 28 problems.
Problems #1–6 are Multiple Choice.
Problems #7–17 are Short Answer. (Work not required to be shown)
Problems #18–28 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Solve | 7 – 5x | 8 and write interval notation for the solution set. 1. _______
A. (−∞, −
1
5
] ∪ [3, ∞)
B. (−∞, 3] ∪ [−
1
5
, ∞)
C. [−
1
5
, ∞)
D. [−
1
5
, 3]
2. Which of the following polynomials has a graph which exhibits the end behavior of
upward to the left and upward to the right? 2. ______
A. f (x) = x3 – 3x2 – x
B. f (x) = 3x6 + x2 – x
C. f (x) = –7x4 – x3 – 5
D. f (x) = –6x5 + x3 + 8
3. Write as an equivalent expression: 9 log x – log (y + 3) + log 1 3. _______
A.
9
log
log ( 3)
x
y +
B. ( )log 9 2x y− −
C.
9 1
log
3
x
y
+
+
D.
9
log
3
x
y
+
vvvv
MATH 115 Precalculus Fall, 2018, V1.4
Page 2 of 7
4. Determine the interval(s) on which the function is decreasing. 4. ______
A. (–, –3.5) (0, 3.5)
B. (– 5.3, 5.3)
C. (– 3.5, 3.5)
D. (– 2, 2)
5. Which of the functions corresponds to the graph? 5. ______
A. ( ) 1xf x e−= +
B. ( ) 2xf x e−= +
C. ( ) 2xf x e−=
D. ( ) 2 xf x e−=
MATH 115 Precalculus Fall, 2018, V1.4
Page 3 of 7
6. Which of the functions corresponds to the graph? 6. ______
A. f (x) = 3 – sin x
B. f (x) = sin x + 3
C. f (x) = 2 cos x + 1
D. f (x) = cos(2x) + 2
SHORT ANSWER:
7. Points (–9, 2) and (–5, 8) are endpoints of the diameter of a circle.
(a) What is the exact length of the diameter? (Simplify as much as possible) Answer: ________
(b) What is the center of the circle? Answer: ____________
(c) What is the equation of the circle? Answer: ___________________________
8. Find the value of the logarithm: log8 (
1
64
). Answer: ____________
9. A salesperso.
A.
B.
A.
B.
A.B.C.D.
A.
B.
C.
D.
A.
B.
C.
A.
B.
(
{
}
)A.
B.
A.
B.
C.
A.
B.
A.
B.
A.
B.
A.
B.
Math 107 Final ExaminationSummer, 20151
Math 107 College AlgebraName______________________________
Final Examination: Summer, 2015Instructor __________________________
Answer Sheet
Instructions:
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.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem.
Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
.
Name _____________________Date___________________
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra MATH 107 Summer, 2015, V3.1
Page 1 of 11
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 functi.
Write solution for these problems -Is targeting only mommy blo.docxherbertwilson5999
Write solution for these problems
-Is targeting only mommy bloggers is a good idea and why?
-how would J&J guarantee that these bloggers won't give a bad feedback?
-if J&J announced about their product only through social media, then how would it reach the other people who don't use social media?
-do you see any value in offering this type of incentive for the users? or, is all the benefit for the company only?
MATH 115 Precalculus Fall, 2018, V1.4
Page 1 of 7
MATH 115 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 28 problems.
Problems #1–6 are Multiple Choice.
Problems #7–17 are Short Answer. (Work not required to be shown)
Problems #18–28 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Solve | 7 – 5x | 8 and write interval notation for the solution set. 1. _______
A. (−∞, −
1
5
] ∪ [3, ∞)
B. (−∞, 3] ∪ [−
1
5
, ∞)
C. [−
1
5
, ∞)
D. [−
1
5
, 3]
2. Which of the following polynomials has a graph which exhibits the end behavior of
upward to the left and upward to the right? 2. ______
A. f (x) = x3 – 3x2 – x
B. f (x) = 3x6 + x2 – x
C. f (x) = –7x4 – x3 – 5
D. f (x) = –6x5 + x3 + 8
3. Write as an equivalent expression: 9 log x – log (y + 3) + log 1 3. _______
A.
9
log
log ( 3)
x
y +
B. ( )log 9 2x y− −
C.
9 1
log
3
x
y
+
+
D.
9
log
3
x
y
+
vvvv
MATH 115 Precalculus Fall, 2018, V1.4
Page 2 of 7
4. Determine the interval(s) on which the function is decreasing. 4. ______
A. (–, –3.5) (0, 3.5)
B. (– 5.3, 5.3)
C. (– 3.5, 3.5)
D. (– 2, 2)
5. Which of the functions corresponds to the graph? 5. ______
A. ( ) 1xf x e−= +
B. ( ) 2xf x e−= +
C. ( ) 2xf x e−=
D. ( ) 2 xf x e−=
MATH 115 Precalculus Fall, 2018, V1.4
Page 3 of 7
6. Which of the functions corresponds to the graph? 6. ______
A. f (x) = 3 – sin x
B. f (x) = sin x + 3
C. f (x) = 2 cos x + 1
D. f (x) = cos(2x) + 2
SHORT ANSWER:
7. Points (–9, 2) and (–5, 8) are endpoints of the diameter of a circle.
(a) What is the exact length of the diameter? (Simplify as much as possible) Answer: ________
(b) What is the center of the circle? Answer: ____________
(c) What is the equation of the circle? Answer: ___________________________
8. Find the value of the logarithm: log8 (
1
64
). Answer: ____________
9. A salesperso.
A.
B.
A.
B.
A.B.C.D.
A.
B.
C.
D.
A.
B.
C.
A.
B.
(
{
}
)A.
B.
A.
B.
C.
A.
B.
A.
B.
A.
B.
A.
B.
Math 107 Final ExaminationSummer, 20151
Math 107 College AlgebraName______________________________
Final Examination: Summer, 2015Instructor __________________________
Answer Sheet
Instructions:
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.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem.
Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
.
Name _____________________Date___________________
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra MATH 107 Summer, 2015, V3.1
Page 1 of 11
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 functi.
3D Representation
Read chapter 10 in Computer Science: note especially section 10.2. Create a 2-page document which will summarize the three steps involved in producing an image using 3D graphics. After you describe each step, give a good example of each. The examples should be different from the one given in the text.
Find a recent news article (not a tutorial or description) that relates to 3D graphics. Explain how any aspect of the news article relates to one of the steps you summarized above.
The document should be clear and concise, free from syntax and semantic errors.
Please submit the document on time please.
College Algebra MATH 107 Spring, 2017, V.1.3
Page 1 of 11
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. ______
A. Domain [– 3, 3]; Range [– 1, 3]
B. Domain [– 3, 1]; Range [– 3, 3]
C. Domain [– 1, 0.5]; Range [–1, 0]
D. Domain (–∞, 3]; Range [–1, ∞)
2. Solve: 10 3x x− = − 2. ______
A. –5, 2
B. 5/2
C. –5
D. No solution
2 4 -4
-2
-4
2
4
-2
College Algebra MATH 107 Spring, 2017, V.1.3
Page 2 of 11
3. Determine the interval(s) on which the function is increasing. 3. ______
A. (–∞, –1)
B. (– 2, 2)
C. (–∞, – 3) and (1, ∞)
D. (– 4.5, – 1) and (2.5, ∞)
4. Determine whether the graph of ( )
2
4xy −= is symmetric with respect to the origin,
the x-axis, or the y-axis. 4. ______
A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and
not symmetric with respect to the origin
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. symmetric with respect to the origin only
5. Solve, and express the answer in interval notation: | 6 – 5x | ≤ 14. 5. ______
A. (–∞, −8/5] ∪ [4, ∞)
B. (–∞, –8/5]
C. [4, ∞)
D. [–8/5, 4]
College Algebra MATH 107 Spring, 2017, V.1.3
Page 3 of 11
6. Which of the following represents the graph of 7x + 4y = 28 ? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2017, V.1.3
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line x – 3y = 5 which passes through
the point (6, –8). 7. ______
A.
1
8
3
y x= −
B.
1
10
3
y x= −
C.
1
6
3
y x= − −
...
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docxTatianaMajor22
MATH 107 FINAL EXAMINATION
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function.
A. Domain [–2, 2];
B. Domain [–1, 1];
C. Domain [–1, 3];
D. Domain [–3/2, –1/2];
2. Solve:
A. 3
B. 3,7
C. 9
D. No solution
3. Determine the interval(s) on which the function is increasing.
A. (−1.3, 1.3)
B. (1, 3)
C. (−∞,−1)and (3,∞)
D. (−2.5, 1)and (4.5,∞)
4. Determine whether the graph of y = 2|x| + 1 is symmetric with respect to the origin,
the x-axis, or the y-axis.
A. symmetric with respect to the origin only
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. not symmetric with respect to the origin, not symmetric with respect to the x-axis, and
not symmetric with respect to the y-axis
5. Solve, and express the answer in interval notation: | 9 – 7x | ≤ 12.
A. (–∞, –3/7]
B. (–∞, −3/7] ∪ [3, ∞) C. [–3, 3/7]
D. [–3/7, 3]
6. Which of the following represents the graph of 7x + 2y = 14 ?
A. B.
C. D.
7. Write a slope-intercept equation for a line parallel to the line x – 2y = 6 which passes through the point (10, – 4).
A.
B.
C.
D.
8. Which of the following best describes the graph?
A. It is the graph of a function and it is one-to-one.
B. It is the graph of a function and it is not one-to-one.
C. It is not the graph of a function and it is one-to-one.
D. It is not the graph of a function and it is not one-to-one.
9. Express as a single logarithm: log x + log 1 – 6 log (y + 4)
A.
B.
C.
D.
10. Which of the functions corresponds to the graph?
A.
B.
C.
D.
11. Suppose that a function f has exactly one x-intercept.
Which of the following statements MUST be true?
A. f is a linear function.
B. f (x) ≥ 0 for all x in the domain of f.
C. The equation f(x) = 0 has exactly one real-number solution.
D. f is an invertible function.
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)?
y = f (x) y = g(x)
A. g(x) = f (x – 3) + 1
B. g(x) = f (x – 1) + 3
C. g(x) = f (x + 3) – 1
D. g(x) = f (x + 1) .
Math 107 Final ExaminationSummer, 20151Math 107 College Algebr.docxandreecapon
Math 107 Final ExaminationSummer, 20151
Math 107 College AlgebraName______________________________
Final Examination: Summer, 2015Instructor __Professor Feinstein________
Answer Sheet
Instructions:
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.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem.
Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement.
(
Please sign (or type) your name below the following honor statement:
I have completed this
final examination
myself,
working independently and not consulting anyone except the instructor.
I have neither given nor received help on this final examination.
Name ____________
______
___
Date___________________
)
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra MATH 107 Summer, 2015, V1.4
Page 1 of 11
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 t ...
* Recognize characteristics of parabolas.
* Understand how the graph of a parabola is related to its quadratic function.
* Determine a quadratic function’s minimum or maximum value.
* Solve problems involving a quadratic function’s minimum or maximum value.
Introductory Mathematical Analysis for Business Economics International 13th ...Leblancer
Full download : http://alibabadownload.com/product/introductory-mathematical-analysis-for-business-economics-international-13th-edition-haeussler-test-bank/ Introductory Mathematical Analysis for Business Economics International 13th Edition Haeussler Test Bank
Chapter wise important questions in Mathematics for Karnataka 2 year PU Science students. This is taken from the PU board website and compiled together.
College Algebra MATH 107 Spring, 2020Page 1 of 11 MA.docxmary772
College Algebra MATH 107 Spring, 2020
Page 1 of 11
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. ______
A. Domain [– 4, 2]; Range [– 2, 4]
B. Domain [– 2, 4]; Range [– 2, 1]
C. Domain [– 2, 4]; Range [– 4 , 2]
D. Domain [0, 2]; Range [– 2, 0]
2. Solve: 3 10x x+ = − 2. ______
A. No solution
B. –2, 5
C. 5
D. –2
-2 2 4 -4
-2
-4
2
4
College Algebra MATH 107 Spring, 2020
Page 2 of 11
3. Determine the interval(s) on which the function is decreasing. 3. ______
A. (–1, 3)
B. (–2, 4)
C. (–3.6, 0) and (6.7, )
D. (–, –2) and (4, )
4. Determine whether the graph of 2y x= + is symmetric with respect to the origin,
the x-axis, or the y-axis. 4. ______
A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and
not symmetric with respect to the origin
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. symmetric with respect to the origin only
5. Solve, and express the answer in interval notation: | 5 – 6x | 13. 5. ______
A. (–, 3] [−4/3, )
B. (–, −4/3] [3, )
C. [4/3, )
D. [–4/3, 3]
College Algebra MATH 107 Spring, 2020
Page 3 of 11
6. Which of the following represents the graph of 8x − 3y = 24 ? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2020
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line x + 7y = 9 which passes through
the point (28, –3). 7. ______
A. 25y x=− +
B.
1
1
7
y x= − +
C.
1
3
7
y x= − −
D.
1
7
7
y x= −
8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function but not one-to-one.
B. It is the graph of a function and it is one-to-one.
C. It is not the graph of a function.
D. It is the graph of an absolute value relation.
.
College Algebra MATH 107 Spring, 2020
Page 5 of 11
9. Write as an equivalent expression: log (x – 3) – 8 log y + log 1 9. ______
A.
log( 3)
log(8 )
x
y
−
B.
2
log
8
x
y
−
C.
8
3
log
x
y
−
D. ( )log 2 8x y− −
10. Which of the functions corresponds to the graph? 10. ______
A. ( ) 2 xf x e−=
B. ( ) 2 xf x e−= +
C. ( ) 2 xf x e= −
D. ( ) 2xf x e−=
College Algebra MATH 107 Spring, 2020
Page 6 of 11
11. Suppose that for a function f, the equation f (x) = 0 has no real-number solution.
Which of the following statements MUST be tr.
Consider the vision for a successful Southwest Transit marketing tea.docxclarebernice
Consider the vision for a successful Southwest Transit marketing team composed in Topic 4. Narrow down the team selection to four individuals for presentation to the director. Decide which strategies will be most effective for leading the agreed-upon team. Compose a PowerPoint presentation (10-12 slides), then record your 5-7-minute presentation using YouTube Video, Loom, or Zoom. On the title slide of your PowerPoint presentation, provide the link to your YouTube, Loom, or Zoom video recording that you created. Your presentation should address the following:
Who are the four team members, and what was the primary reason each person was selected? How difficult was it to come to a decision regarding team selection? Which potential team member was most difficult to come to a consensus about? Why?
What are the primary strengths of the team? What are its potential weaknesses? How positive is the management team about the team's potential? Justify your answers with evidence from " Southwest Transit Team Member Profiles."
What strategies will be most effective for motivating the team, managing conflict, and ensuring success and fostering collaboration? Cite specific motivational theories, conflict-resolution strategies, and leadership strategies in your answer.
Justify how the selected team embodies the values of Conscious Capitalism how the tenet of stakeholder orientation played a role in the team selection process. Provide citations to strengthen your claims.
Describe how value is created for each stakeholder, and in what ways will the team positively impact the business as a whole?
You are required to use at least three academic references to strengthen and support your claims and recommendations. Ensure each content slide has supporting citations and specific examples.
.
Consider the various ways to create effective communication in teams.docxclarebernice
Consider the various ways to create effective communication in teams and guidelines from the text to determine how s a student group could constructively manage the situations described below. In your response for each scenario, identify which principles of effective teamwork are being disregarded, and develop responses (i.e. ways) that maintain a supportive communication climate.
A. LATENESS: At the second meeting, Peg came in a few minutes late. That was bad enough, but now she’s coming 10–15 minutes late to every meeting. What’s worse, Angelica and Robert have started arriving late, too. It makes the rest of us feel like giving up.
B. SKEPTICISM: Dan constantly makes negative comments. Our brainstorming activities fail because he makes fun of our efforts. Some people in the group are losing their enthusiasm and have stopped saying anything.
C. MONOPOLIZING: Rajiv is very opinionated. He keeps talking, and he rambles on and on. It feels like we can’t get a word in edgewise.
D. SILENT DISAGREEMENT: Adelle sits around rolling her eyes about almost everything we say. We can tell from the look on her face that she doesn’t like our ideas. It makes us feel like she doesn’t like us, either. She’s very pretty, and I think maybe she feels superior.
.
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3D Representation
Read chapter 10 in Computer Science: note especially section 10.2. Create a 2-page document which will summarize the three steps involved in producing an image using 3D graphics. After you describe each step, give a good example of each. The examples should be different from the one given in the text.
Find a recent news article (not a tutorial or description) that relates to 3D graphics. Explain how any aspect of the news article relates to one of the steps you summarized above.
The document should be clear and concise, free from syntax and semantic errors.
Please submit the document on time please.
College Algebra MATH 107 Spring, 2017, V.1.3
Page 1 of 11
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. ______
A. Domain [– 3, 3]; Range [– 1, 3]
B. Domain [– 3, 1]; Range [– 3, 3]
C. Domain [– 1, 0.5]; Range [–1, 0]
D. Domain (–∞, 3]; Range [–1, ∞)
2. Solve: 10 3x x− = − 2. ______
A. –5, 2
B. 5/2
C. –5
D. No solution
2 4 -4
-2
-4
2
4
-2
College Algebra MATH 107 Spring, 2017, V.1.3
Page 2 of 11
3. Determine the interval(s) on which the function is increasing. 3. ______
A. (–∞, –1)
B. (– 2, 2)
C. (–∞, – 3) and (1, ∞)
D. (– 4.5, – 1) and (2.5, ∞)
4. Determine whether the graph of ( )
2
4xy −= is symmetric with respect to the origin,
the x-axis, or the y-axis. 4. ______
A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and
not symmetric with respect to the origin
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. symmetric with respect to the origin only
5. Solve, and express the answer in interval notation: | 6 – 5x | ≤ 14. 5. ______
A. (–∞, −8/5] ∪ [4, ∞)
B. (–∞, –8/5]
C. [4, ∞)
D. [–8/5, 4]
College Algebra MATH 107 Spring, 2017, V.1.3
Page 3 of 11
6. Which of the following represents the graph of 7x + 4y = 28 ? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2017, V.1.3
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line x – 3y = 5 which passes through
the point (6, –8). 7. ______
A.
1
8
3
y x= −
B.
1
10
3
y x= −
C.
1
6
3
y x= − −
...
MATH 107 FINAL EXAMINATIONMULTIPLE CHOICE1. Deter.docxTatianaMajor22
MATH 107 FINAL EXAMINATION
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function.
A. Domain [–2, 2];
B. Domain [–1, 1];
C. Domain [–1, 3];
D. Domain [–3/2, –1/2];
2. Solve:
A. 3
B. 3,7
C. 9
D. No solution
3. Determine the interval(s) on which the function is increasing.
A. (−1.3, 1.3)
B. (1, 3)
C. (−∞,−1)and (3,∞)
D. (−2.5, 1)and (4.5,∞)
4. Determine whether the graph of y = 2|x| + 1 is symmetric with respect to the origin,
the x-axis, or the y-axis.
A. symmetric with respect to the origin only
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. not symmetric with respect to the origin, not symmetric with respect to the x-axis, and
not symmetric with respect to the y-axis
5. Solve, and express the answer in interval notation: | 9 – 7x | ≤ 12.
A. (–∞, –3/7]
B. (–∞, −3/7] ∪ [3, ∞) C. [–3, 3/7]
D. [–3/7, 3]
6. Which of the following represents the graph of 7x + 2y = 14 ?
A. B.
C. D.
7. Write a slope-intercept equation for a line parallel to the line x – 2y = 6 which passes through the point (10, – 4).
A.
B.
C.
D.
8. Which of the following best describes the graph?
A. It is the graph of a function and it is one-to-one.
B. It is the graph of a function and it is not one-to-one.
C. It is not the graph of a function and it is one-to-one.
D. It is not the graph of a function and it is not one-to-one.
9. Express as a single logarithm: log x + log 1 – 6 log (y + 4)
A.
B.
C.
D.
10. Which of the functions corresponds to the graph?
A.
B.
C.
D.
11. Suppose that a function f has exactly one x-intercept.
Which of the following statements MUST be true?
A. f is a linear function.
B. f (x) ≥ 0 for all x in the domain of f.
C. The equation f(x) = 0 has exactly one real-number solution.
D. f is an invertible function.
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)?
y = f (x) y = g(x)
A. g(x) = f (x – 3) + 1
B. g(x) = f (x – 1) + 3
C. g(x) = f (x + 3) – 1
D. g(x) = f (x + 1) .
Math 107 Final ExaminationSummer, 20151Math 107 College Algebr.docxandreecapon
Math 107 Final ExaminationSummer, 20151
Math 107 College AlgebraName______________________________
Final Examination: Summer, 2015Instructor __Professor Feinstein________
Answer Sheet
Instructions:
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.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for each problem.
Problems #13-21 are short answer. Record your answer for each problem.
Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement.
(
Please sign (or type) your name below the following honor statement:
I have completed this
final examination
myself,
working independently and not consulting anyone except the instructor.
I have neither given nor received help on this final examination.
Name ____________
______
___
Date___________________
)
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra MATH 107 Summer, 2015, V1.4
Page 1 of 11
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 t ...
* Recognize characteristics of parabolas.
* Understand how the graph of a parabola is related to its quadratic function.
* Determine a quadratic function’s minimum or maximum value.
* Solve problems involving a quadratic function’s minimum or maximum value.
Introductory Mathematical Analysis for Business Economics International 13th ...Leblancer
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Chapter wise important questions in Mathematics for Karnataka 2 year PU Science students. This is taken from the PU board website and compiled together.
College Algebra MATH 107 Spring, 2020Page 1 of 11 MA.docxmary772
College Algebra MATH 107 Spring, 2020
Page 1 of 11
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. ______
A. Domain [– 4, 2]; Range [– 2, 4]
B. Domain [– 2, 4]; Range [– 2, 1]
C. Domain [– 2, 4]; Range [– 4 , 2]
D. Domain [0, 2]; Range [– 2, 0]
2. Solve: 3 10x x+ = − 2. ______
A. No solution
B. –2, 5
C. 5
D. –2
-2 2 4 -4
-2
-4
2
4
College Algebra MATH 107 Spring, 2020
Page 2 of 11
3. Determine the interval(s) on which the function is decreasing. 3. ______
A. (–1, 3)
B. (–2, 4)
C. (–3.6, 0) and (6.7, )
D. (–, –2) and (4, )
4. Determine whether the graph of 2y x= + is symmetric with respect to the origin,
the x-axis, or the y-axis. 4. ______
A. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and
not symmetric with respect to the origin
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. symmetric with respect to the origin only
5. Solve, and express the answer in interval notation: | 5 – 6x | 13. 5. ______
A. (–, 3] [−4/3, )
B. (–, −4/3] [3, )
C. [4/3, )
D. [–4/3, 3]
College Algebra MATH 107 Spring, 2020
Page 3 of 11
6. Which of the following represents the graph of 8x − 3y = 24 ? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2020
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line x + 7y = 9 which passes through
the point (28, –3). 7. ______
A. 25y x=− +
B.
1
1
7
y x= − +
C.
1
3
7
y x= − −
D.
1
7
7
y x= −
8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function but not one-to-one.
B. It is the graph of a function and it is one-to-one.
C. It is not the graph of a function.
D. It is the graph of an absolute value relation.
.
College Algebra MATH 107 Spring, 2020
Page 5 of 11
9. Write as an equivalent expression: log (x – 3) – 8 log y + log 1 9. ______
A.
log( 3)
log(8 )
x
y
−
B.
2
log
8
x
y
−
C.
8
3
log
x
y
−
D. ( )log 2 8x y− −
10. Which of the functions corresponds to the graph? 10. ______
A. ( ) 2 xf x e−=
B. ( ) 2 xf x e−= +
C. ( ) 2 xf x e= −
D. ( ) 2xf x e−=
College Algebra MATH 107 Spring, 2020
Page 6 of 11
11. Suppose that for a function f, the equation f (x) = 0 has no real-number solution.
Which of the following statements MUST be tr.
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2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
2024.06.01 Introducing a competency framework for languag learning materials ...
College Algebra MATH 107Record your answers and work on th.docx
1. College Algebra MATH 107
Record your answers and work on the separate Answer sheet
provided.
There are 30 problems.
Problems #1-12 are Multiple Choice.
Problems #1311are Short Answer. (Work not required to be
shown)
Problems #2210 are Short Answer with work required to be
shown.
MTILTIPLE CHOICE
1. Determine the domain and range of the piecewise function.
Domain [-1,0]; Range [2, 3]
Domain [-1,3]; Range [0,4]
Domain lll2,4l; Range [0, 3]
Domain [0,4]; Range [-1, 3]
2. Solve: J3r-5 = x-3
1',7
2
7
No solution
A.
B.
2. C.
D.
Summer, 2018, V3.3
)
A.
B.
C.
D.
This is an open-book exam. You may refer to your text and
other course materials as
on the exam, and you may use a calculator.
Page 1 of1I
College Algebra MATI{ 107
3. Determine the interval(s) on which the function is inoeasing.
Summer, 2018, V3.3
3.
B.
C.
D.
(-o, -0.5) and (5, 6.5)
3. (- 0.5, 3)
(1, 5)
(-2,2)
4. Determine whether the gaph of y = x2 +3 is symmetric with
respect to the origrn,
the x-axis, or they-axis. 4.
A. symmetic with respeot to the y-a:ris only
B. symmetric with respect to the x-anis only
C. slmmotric with respect to the origtn only
D. no1 symmetric with respectto thex-ari$ not sSmmetric with
rcspect to they-CIris, and
not symmetric with respect to the odgin
5. Solvq and express the answer in int€rval notation: | 6 - 5x | <
4.
A. (-a,215)
B. [215,21
C. (-o,21u [2/5, co)
D. (-c,2/51u [2, o)
5.
Page2ofll
q,
CeltqpAtee€- [4AT[Iry/
4. 6" Slhietu ofthe followins rrycwa fu paptu sf k * 1y * 14 ?
@,*BI&Y.3.S
6.
hgp 3 d11
t*
20. Consids the polyrourial P(r), shorrn in both safldard ftrm
and &atored fonn.
P(d = * r* * * r' ** *' - * * - z= { 1x + 5}(r + 4)(x + 1)(s - 1)10
l0 10 t0 l0'
(a) Whi*.h skr*eh iuq*r-dcs ths end berhavior oftb polynomid
fimetiou?
A.A
{
B.A
v
"'t**f D. ,fl
Cetep Algebtrs il,rAIII l&7
(b) $tde the mo* sf&s firc{im.
(e) Shtethey.iutscept
5. (d) Sete ueich [email protected] belw is tu [email protected] of
P(x).
GRAPTIA GRAPHB
GRAPH D
Srrma,2018, V3.3
Answm:
Answer:
Answm:
Annurer:
GRAPHC
PaGp I ofll
t:
Colle*pAISSra ],IATII 107
')t-1,
/
zl.l,et. f(x)= :x-5
(a) Stutethe dmain
(b) State thohoriuotrtal aqrmptotE
(c) State t&eMtical [email protected](t).
6. (d) Shich of the follouring mpsesar$s th gr-aph of f (i,=# ?
GR^APHA. GRAPHB,
GRAPH C.
$ulw,2O1&V3.3
Answer:
Answer:
Arswpr;
Angftr€f:
GRAPH D.
Pagr I ofll
College Algebra MATH 107 Summer, 2018, V3.3
SHORT ANSWER, with work required to be shown, as
indicated.
22.Let f (x)= x - 72 and g(x) = J;:T .
/t
(a) Find I /- lfql. Show work.
g,r
(b) Find the domain ofthe quotient function /. E*plain.
oo
7. 23. Points (-5, 9) and (-7, 1) 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 point C of the circle?
(c) Given the point C you found in part (b), state the point
symmetric to C about the r-uris.
Z4,Findthe equation for a line which passes through the points
(6,-2) and (4, 8). Write the
equation in slope-intercept form. Show work
25. Sara, a resident of Metropolis, pays Metropolis an annual
tax of $85 plus 1 .2o/o of her annual
income. If Sara paid $991 in tax, what was Sara's income? Show
work
26.Letf (x)=Zf + 9 and g(x) =r-4.
(a) Find the composite function U [email protected])and
simplifu. Show worlc
(b) Find (/og)(-z). Show work.
2T.Findthe exact solutions and simpliff as much as possible: 2*
:3 + 8x. Show work
28. Given the function .f (x) =: - I , , find a formula for the
inverse function. Show worlc
9
Page l0ofl1
8. ehgpAlgebfift lt{AII{ 107 &mffi,.2{r^l&V3.3
7. Write a slope.irfiercopt equstion for a line parallol to the
line.$ - 5y = I whieh pssses through
?"thopoiu(-10, $.
I
A. y=-lx+3
)
B.
l^
v = -x+J-5
.y=5s+53C;
D. v=1x+5''5
L Doec the graph below ltpresent a f-unqtioo and in it one"to-
one?
It is afimcttoa aad itis qn€@"
lt is a fimction:but not one-ts-me.
It is not a function but it is one-to-one.
It is not a ftnction aid it i nCIt on€-to-one.
8.
A.
B.
c.
D.
Pagp 4 offl
9. College Algebra MATH 107 Summer, 2018, V3.3
29. The fuel efficiency F for a particular cm is given by
F(x) : *0.015 * + t.32 x + 15.9
where.rr is the speed of the car in miles per hour (mph) and
F(.r) is the corresponding fuel
efficiency in miles per gallon (mpg).
(a) What is the fuel efficiency if the car's speed is 70 mph?
(b) What speed will yield the maximum fuel efficiency? Show
work
30. Solve:
x-7 * -20 =0. Showworlcx-5 x'-25
Page ll ofll
Co{egeAtgsbril MATH 10,
9. Express as an equivalent expression:
A. log(8y+a-r)
los(8y)
8 logy +log I - loe (x* 3)
Sumqr20l&V33
10. 9.
Ios(x*4
*[*)
*[*#J
10.
A. f(x)=3e-*
B. f{x *2+{x
e. .f(x)=2*u'
o. /(r)= 2*{
I 0. lUhieh of flre firnctions
Page 5 ofll
,:
CollegeAlgebra MATH 107
11. Suppose that for a firnction/, .f has nox-intercepts.
Which ofthe following statements MU$T be true?
A. f (x)>0 for all x in the domain ofl
B. f is an invertible funotion.
C. The equation f (0) = y has no real-number solutions.
D. The equ*tion"f(x) = 0 has no real-number solutions.
Summer,2018, V3.3
11. 11.
12.Thegaph ofy=f(x)
isshownattheleftandthegaphofy=g(x)isshownattheright.(No
formulas are give,n.) What is the relationship betwen g(.r)
and/(x)?
12.
y:.f(x v=8{g)
g(r) */(x- 1)
s(x) =1(x) + I
s(x) =/(x + 1)
g(x) *f(x+2)
A.
B.
C.
D.
Paes 6 ofll
College Algebra MATH 107 Summer, 2018, V3.3
SHORT ANSWER:
13. Multiply and simpliff: (6 - r)(7 + 3r).
Writethe answer inthe form a * bi,where a and barereal
numbers. Answer:
14. Solve, and write the answer in intsrval notation: '*1
=
12. o.x-l
Answer:
15.Abowlof soup et175"
F.isplacedinaroomofconstanttemperatureofT0oF. The
temperature Z of the soup / minutes after it is placed in the
room is given by
T(t):70 + 105 e-o'o,s t
Find the temperature of the soup 18 minutes after it is placed in
the room. (Round to the nearest
degree')
Answer:
16. Find the value ofthe logarithm: Answer:
""
(*)
17. solve: 33x+9 =64. Answer:
18. Suppose $5,700 is invested in an account at an annual
interest rute of 2.5Yo compounded
continuously. How long (to the nearest tenth of a year) will it
take the investment to double in
size? Answer:
rg.Letf (x): * + lbc + 37 .
(a) Find the vertex.
(b) State the range of the function.
(c) On what interval is the function inoeasing?
![College Algebra MATH 107
Record your answers and work on the separate Answer sheet
provided.
There are 30 problems.
Problems #1-12 are Multiple Choice.
Problems #1311are Short Answer. (Work not required to be
shown)
Problems #2210 are Short Answer with work required to be
shown.
MTILTIPLE CHOICE
1. Determine the domain and range of the piecewise function.
Domain [-1,0]; Range [2, 3]
Domain [-1,3]; Range [0,4]
Domain lll2,4l; Range [0, 3]
Domain [0,4]; Range [-1, 3]
2. Solve: J3r-5 = x-3
1',7
2
7
No solution
A.
B.](https://image.slidesharecdn.com/collegealgebramath107recordyouranswersandworkonth-221107153959-35e3f191/85/College-Algebra-MATH-107Record-your-answers-and-work-on-th-docx-1-320.jpg)
