CALCULUS AB
Given g(x), name the piecewise function and graph:
g(x)+1
g(x-1)
-g(x)
2g(x)
-g(x-1)
|g(x)|
Answers
A piecewise function is one that has different operations, depending on the values of the input
The piecewise function is;
[tex]g(x) = \begin{cases} -\left | x + 2 \right |&\mathbf{ \text{ if } -5 \leq x < 0 }\\ 2 \cdot x - 2 &\mathbf{ \text{ if } 0 < x \leq 2}\\ 2 &\mathbf{ \text{ if } 2 \leq x \leq 5}\end{cases}[/tex]
Reason:
The general form of the absolute value function is presented as follows;
[tex]f(x) = \mathbf{a \left | x - h \right | + k}[/tex]
The function given in the graph are;
Domain; -5 ≤ x < 0
Function; [tex]g(x) = -\left | x + 2 \right |[/tex]
Domain; 0 < x ≤ 2
Points on the graph are;
(0, -2), and (2, 2)
Slope = (2 - (-2))/(2 - 0) = 2
g(x) - (-2) = 2·(x - 0)
∴ Function; g(x) = 2·x - 2
Domain; 2 ≤ x ≤ 5
Function; g(x) = 2
Therefore, we have the following piecewise function;
[tex]g(x) = \mathbf{ \begin{cases} -\left | x + 2 \right |& \text{ if } -5 \leq x < 0 \\ 2 \cdot x - 2 & \text{ if } 0 < x \leq 2\\ 2 & \text{ if } 2 \leq x \leq 5\end{cases}}[/tex]
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See attached for the graphs of the various transformations of g(x).
• g(x) + 1 is a vertical shift upward by one unit
• g(x - 1) is a horizontal shift to the right by one unit
• -g(x) is a reflection across the x-axis
• 2g(x) is a scaling by a factor of 2
• -g(x - 1) is the composition of g(x - 1) and -g(x), hence a reflection and a horizontal shift
• |g(x)| leaves the positive parts of g(x) alone, and negates the negative parts (in other words, the parts of the graph of g(x) below the x-axis are reflected, the rest stays the same)
Related Questions
How do you create a mission statement?
Answers
Answer:
Tips for Creating an Effective Mission Statement
Do keep it short and concise. Sum up the company's mission in just a few sentences.
Don't write an essay. ...
Do think long-term. ...
Don't make it too limiting. ...
Do find out what your employees think of the mission statement. ...
Don't be afraid to change it.
Who is the father of economics?
Answers
Answer:
Adam Smith
Explanation:
..........Hopefully it is helful.......
The table shows the types of information collected by a store regarding customer purchases. Which of the following data could be used in a geographical information system (GIS) to increase sales?
Answers
A geographical information system (GIS) is an information system that is used to manage data. They are also used to create and organize data. The total transaction amount can be used by the GIS to increase sales
From the attached table, we have the following data:
Zip code areaNumber of customersNumber of transactionsTotal transaction amountAmount per transactionThe usage of each data is as follows:
The zip code can be used to determine the region of the customers.
The number of customers and the number of transactions can be used to determine the rate of transactions per customer
We observe that, the total transaction amount is the product of the number of transactions and the amount per transaction.
This means that the total transaction amount is a summary of two other columns which deals directly with sales.
Information about total transaction amount can then be used independently to determine, predict and increase the sales of the store.
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How do media and networks interact? A. Media and networks do not interact at all. B. Networks and media work in exactly the same way. C. Media are connected to networks that make information easier to access and pass on. D. Networks feed media only important information that can be communicated to many people.
Answers
Answer:
The answer should infact be C using the process of elimination.
Explanation:
A would be false because networks send data to specific kinds of media like games, server hosts, ect to send them data and cookies and information that tells them about whos using the media, and whats going on. In a game sense it would connect the player to the in game server, which sends data from the network to the game. B is incorrect. Networks send data over wireless, and wired connections, but media does not. C is correct due to process of elimination (i'm not super smart but this is how i'd come to the conclusion on this question.) D. Networks send all types of information, not just important.
What are the colors of the rainbow and what they stand for??
Answers
Red– This is the first color of the rainbow from top. Red signifies passion, vitality, enthusiasm and security. It is the light with the longest wavelength.
Orange– This light or color is a combination of yellow and red. It is a dynamic color representing creativity, practicality, playfulness as well as equilibrium or control.
Yellow– This is the color of the sunshine itself. It represents clarity of thought, wisdom, orderliness and energy.
Green– This is the middle color of the rainbow and denotes fertility, growth, balance, health and wealth.
Blue– This the fifth color of the rainbow which makes us think of the Unknown. The sky and the wide oceans are in this color and hence it has been associated with Spirituality and Divinity.
Indigo– It is believed that where Blue is calming, Indigo is sedating. Indigo is mystical as it bridges the Gap between Finite and Infinite. Indigo colored gem stones are often used for spiritual attainment, psychic abilities, self awareness and enhancement of Intuition.
Violet– The last color of the rainbow is a mix of red and blue. It is considered the highest element of spirituality. It can ignite one’s imagination and be an inspiration to artists. Dark tones of violet are associated with sorrow. Deeper shades of violet or purple denote high spiritual mastery.
1. Which economy is NOT associated
with major, industrial world
economies?
Command
Market
Mixed
Traditional
Answers
Explanation: The command or the planned economies is a type of investment system that investment and production and allocation of the capital goods takes place
Answer:
Traditional
Explanation:
cause it only deal with traditional things
im offering 100 point to whoever can give me the best advice on boys you possible can. so shoot, tell me everything and anything about it.
Answers
Answer:
we young live yo life nobody is committing to anybody at this age
25. The distribution of women does not vary across space like and
Answers
Explanation:
The gender perspective looks at the impact of gender on people's opportunities, social roles and interactions. Successful implementation of the policy, programme and project goals of international and national organizations is directly affected by the impact of gender and, in turn, influences the process of social development. Gender is an integral component of every aspect of the economic, social, daily and private lives of individuals and societies, and of the different roles ascribed by society to men and women.
x + 2x + 3x + 4x + 5x = 10 . Find x
Answers
Answer:
2/3
Explanation:
x + 2x + 3x + 4x + 5x = 10
=> 15x = 10
=> x = 10/15
=> x = 2/3
Label each of the following as either a physical process or a
chemical process: (a) rusting of a metal can, (b) boiling a cup
of water, (c) pulverizing an aspirin, (d) digesting a candy bar,
(e) exploding of nitroglyerin.
Answers
Answer:
Rusting metal can: Chemical
Boiling water: Physical
Crushing aspirin: Physical
Exploding nitroglycerin: Chemical
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it? Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls. The ratio would be 14:10 or 7:5.Jeff did not write the ratio in the correct order. He should have written it as 24:10.Jeff did not write the ratio in the correct order. He should have written it as 12:5.
Answers
Answer:
the answer is: A. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.
Explanation:
i got it right on a quiz i took and i looked up the question.
Answer:
a
Explanation:
PLEASE HELP WILL MARK BRAINLIEST
The data provided below describe an ice-cream store’s daily production possibilities for milkshakes and sundaes.
-----
Milkshakes 0 20 40 60 80 100 120
Sundaes 210 200 180 150 110 60 0
-----
(a) Draw a correctly labeled graph of the store’s production possibilities curve (PPC) with milkshakes on the horizontal axis and sundaes on the vertical axis and label the endpoints using the numbers provided above.
(b) Is the opportunity cost of producing milkshakes increasing, decreasing, or constant? Explain using numbers in the table.
(c) The store is currently producing 80 milkshakes and 110 sundaes. Calculate the opportunity cost of increasing milkshake production from 80 to 100 milkshakes. Show your work.
(d) Would it be efficient for the store to produce 80 milkshakes and 150 sundaes? Explain using numbers in the table.
(e) Suppose the ice-cream store purchases a new machine that increases the output of milkshakes and sundaes. Show the effect of the change on the store’s PPC on your graph in part (a).
Answers
(a) Please see the attached graph
(b) The opportunity cost is increasing
(c) The opportunity cost is the -77.5 units of sundae not produced
(d) The function is note defined at c = (80, 150)
(e) The slope of the graph will change less rapidly, and the opportunity cost of producing milkshake will increase
Reason:
(a) The given data in a tabular form is presented here;
[tex]\begin{array}{|c|cc|}\mathbf{Milkshakes} &&\mathbf{Sundaes}\\0&&210\\20&&200\\40&&180\\60&&150\\80&&110\\100&&60\\120&&0\end{array}[/tex]
Please find attached the required drawing of the Production Possibility Curve (PPC) created with MS Excel
The endpoints are;
A(0, 210): Sundaes are the goods mainly produced while no milkshakes is produced
B(120, 0): No sundaes is being produced while milkshakes are the goods mainly in production
(b) The opportunity cost producing milkshakes is the amount of sundaes forgone
[tex]\begin{array}{|c|c|c|}\mathbf{Milkshakes} &\mathbf{Sundaes}& \mathbf{\dfrac{\Delta Sundaes}{\Delta Milkshakes} }\\0&210&-0.5\\20&200&-1\\40&180&-1.5\\60&150&-2\\80&110&-2.5\\100&60&-3\\120&0&\end{array}[/tex]
[tex]\mathbf{\dfrac{\Delta Sundaes}{\Delta Milkshakes} } = Rate \ of \ Change \ of \ Sundaes \ to \ Milkshakes \\[/tex]
From the rate of change column of the above table, as the quantity of milkshake produced is increasing, the quantity of sundaes produced decreases more as shown by the progressively increasingly negative rate of change of sundae to milkshake produced
Therefore, the opportunity cost of producing milkshake, which is the quantity of sundae produced, is increasing
(c) The number of sundae produced when producing 80 milkshakes is 110
When the production of milkshakes is increased from 80 to 100, the expected quantity of sundae produced is (110/80) × 100/1 = 137.5
Therefore, 137.5 units of sundae is expected to be produced from 100 units of milkshakes
The actual quantity of sundae produced when the quantity of milkshake produced is 100 is 60
Therefore, the opportunity cost is the extra 20 milkshakes, is the deficit (137.5 - 60 = 77.5
The opportunity cost = -77.5 units of sundae not produced
(d) When the quantity of milkshakes produced = 80, the maximum quantity of sundae that can be produced is 100
Therefore, the condition (80, 150) is not feasible
(e) Given that the quantity of milkshake produced by the new machine is increasing, the rate of change of the sundae to milkshake will decrease, but the the opportunity cost of producing milkshake will continue to increase
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¿crees que en pleno siglo xx1 los derechos de los niños, niñas y adolescentes se siguen vulnerando?¿porque?
Answers
Answer:
??????
Explanation:
i can't know this language
paraphrase what Madison means by a republic in federalist no 10
Answers
The earliest civilizations developed between 4000 and 3000 BCE, when the rise of agriculture and trade allowed people to have surplus food and economic stability. Many people no longer had to practice farming, allowing a diverse array of professions and interests to flourish in a relatively confined area.
Most energy used in the U.S. is produced from coal. There are 315,000,000 people in the U.S. It is estimated that one person is responsible for using 2000 lbs of coal per year. For every 100 lbs of coal burned, 2.5 lbs of sulfur go into the atmosphere. How much sulfur is put into the air by coal burning each year for all the people in the U.S.?
Answers
What was the Confucian expectation for those who were superior in society?
Answers
Answer:
That the emperors should keep low taxes and administer justice.
Which theory states that citizens taking part in political processes is essential to
a democratic government?
A. Civil society groups like the church organization are tax exempt, whereas the AARP has
to pay taxes on income made from membership fees.
B. Civil societies like the church organization are sponsored by local governments,
whereas the AARP is sponsored by the national government.
O The AARP advocates for the interests of the common good, whereas the church
organization advocates for religious freedoms and protections.
The charitable church organization acts in the interest of the common good, whereas
the AARP advocates for its own interests.
Answers
Answer:
The AARP advocates for the interests of the common good, whereas the church
organization advocates for religious freedoms and protections.
Explanation:
The American Association of Retired Persons, commonly known by its acronym AARP, is America's leading organization for people aged fifty and older, providing member benefits, marketing services, and lobbying on their behalf.
what is the importance of girl in boys life
Answers
Answer:
importance of girl in boys life is two important because girl is a good friend it's help in your all work
Answer:
This girl can be anyone – lady love, mom, sister, best friend, daughter or anyone else! Mothers surely have a strong hold over their sons' hearts! A sense of protection comes in a man only when he is having a sister! A girl plays a major role in his father's life and helps him in climbing the stairs of matureness
Find d
d=
|-5 1
-1 10
D =
DONE
Answers
Answer:
D=15
Explanation:
Answer:
d = 51
Explanation: I just did it on edge
why is there a need to protect our identity
Answers
Answer:
because we must protect our DNA and mental psychology to the humanity doesn't lost. Some scientist working on DNA and they try to change some piece of DNA to identify can be change but I think this is a very dangerous and risky work
how did the environment shape seljuk empire?
Answers
Answer:
By the second quarter of the 13th century, the Seljuks had become an export nation, although they still imported more that they exported. They also developed many local industries and traded their own goods among the cities of the Empire. These industries included the production of alum and refined sugar.
Answer:
The Great Seljuk Empire emerged in the midst of division and chaos in the Islamic world. From migratory people, they transformed into conquerors that gave unity in the Middle East for a time. Some settled in a land they called their home even to this very day – Turkey
please help me with ap government
What happens to each branch of government if they are not separated? Be specific and
include the legislative, judicial, and executive branches
Answers
Answer:
Chaos would happen and one branch will always have more power over the other branch. If they are all together, what is right and what is wrong. Is too much power being used? What laws to make? What actions to make? IF for not these questions perhaps, there would have been only one branch of the government. The executive branch has immense power and can be overpowered as well, but, that does not mean it can do any foolishness it wants. That is why the judicial branch exists and it has specific power, great power, to overrule anything if it is deemed wrong or unconsitituional. The president doesn't necessarily create law either. He writes them into law and may have some power or influence to add in laws he likes or wants. The legislative branch looks over the laws and creates them. The president merely looks over it and signs it. The judical branch also has the power to overrule laws that are unjust or unconstitutional. Together, these three branches make up the government. Without each other, or to be said, as single, the nation would be no more.
Explanation:
When 90-year-old Grace looked at her old wedding pictures, she was flooded with vivid memories of her husband and the early years of her marriage. The pictures served as powerful
encoding devices
iconic memories
memory devices
automatic processing devices
retrieval cues\
Answers
Answer:
what
Explanation:
why would working for superdry be important to you
Answers
We do it with infectious passion. We all work here because we're driven to make a difference. We're passionate about building a brighter future for ourselves, others and the brand. ... After all, this Brand was built on a Spirit of Adventure and an attitude of fearless creativity
do you see any contradiction in the fact that americans share a common set of ideals and yet often find themselves on opposite sides when it comes to party politics
Answers
There are many ways of achieving a desired goal. While it is true that Americans share common ideals like justice, honesty, a government for the people and by the people, hardwork, etc., the truth remains that realizing these ideals is not a straight path.
Different routes might be required to attain these ideals and that is why Americans could either belong to the Republican party or the Democratic party.
So long as these parties are working for the good of the common man, then there is no contradiction in citizens belonging to different parties.
Summarily, I see no contradiction in the submission above.
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Which region is LEAST LIKELY to have a high physiological density?
Western Europe
East Asia
South Asia
Great Plains
China
Answers
Answer:
Great plains
Explanation:
The effect of population distribution and density on the environment and natural resources is known as
carrying capacity
standard of living
ecumene
demographic demand
agricultural density
Answers
Answer:
a
Explanation:
The effect on the environment and the natural resources by population distribution and density is termed carrying capacity. Thus, option A is correct.
What is population composition?The population composition can be given as the pattern made with the age structure and the gender ratio across different regions and at varying scales. The effect of population composition can be seen in population distribution and density.
The effect made by the population density and distribution on the environment and the natural resources is termed the carrying capacity of the population. Thus, option A is correct.
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What is a human characteristic of New York City?
Part of New York City is on an island.
New York City has a hilly terrain.
Summers are hot in New York City.
Many immigrants live in New York City.
The Hudson River flows to the west of New York City.
Answers
Many immigrants live in New York City. Therefore option D is correct.
New York City's significant human characteristic is its rich cultural diversity shaped by the vast number of immigrants who call it home.
With a long history of being a gateway for immigrants, the city has welcomed people from all corners of the world, creating a vibrant tapestry of cultures, languages, and traditions.
This melting pot has not only enriched the city's identity but also contributed to its dynamic arts, culinary scene, and global influence.
New York City stands as a testament to the enduring spirit of those who sought a better life and made this metropolis their own, shaping its unique character and making it truly a global city.
Therefore option D is correct.
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GEOMETRY
PLEASE HELP!!!
NO LINKS OR YOU WILL BE REPORTED
Answers
Answer:
Not sure but its most likely plane DEA because all the points are located within the plane.
Explanation:
1.Identify three jobs and three careers. What do they have in common? How do they differ?
2.Discuss the cost and benefits of choosing a career instead of a job.
3.Explain different ways for people to build their human capital.
Answers
Click this photo. And you can see full answer.