I need help with piecewise functions. How to find the domain and range and how to write it notation.

Answers

Answer 1
Answer: Here is an example.
/ y=3x+2, x<2
| y=4x+7, 2 \leq x \leq 6
\ y=x-5   , x>6

you want find the value of y when x=4.5
Firstly find which domain/section this x belongs to,
clearly it belongs to the second domain. then replace the x in the second equation with 4.5, find y's value.
One thing you should know about piecewise functions is that for each x there will be only one corresponding y, vice versa.

Related Questions

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Accepting your coworkers for who they are is called what

Answers

Accepting your coworkers for who they are is called tolerance, it only matters if you respect them for who they are. 
tolerance in a sentence is: He had as little notion of tolerance towards others as of dignity in himself.

Read the excerpt from The Odyssey. Then I sent out two picked men and a runner to learn what race of men that land sustained. They fell in, soon enough, with Lotus-Eaters, who showed no will to do us harm, only offering the sweet Lotus to our friends— but those who ate this honeyed plant, the Lotus, never cared to report, nor to return: they longed to stay forever, browsing on that native bloom, forgetful of their homeland. Which central idea should be included in a paraphrase of this excerpt? The men sent by Odysseus to investigate the land they had landed upon became forgetful after eating Lotus plants. The Lotus-Eaters meant no harm and simply offered the Lotus plant to Odysseus’s men as a gesture of kindness. The Lotus was a sweet plant that made men forget everything except the idea of obtaining and eating more Lotus plants. The men sent ashore by Odysseus were swayed by the hospitality of the Lotus-Eaters and abandoned the idea of returning home.

Answers

The Lotus was a sweet plant that made men forget everything except the idea of obtaining and eating more Lotus plants is the answer

Final answer:

The excerpt from The Odyssey depicts explorers encountering Lotus-Eaters and consuming their sweet plants, causing them to forget their home and mission. The central idea involves themes of temptation, danger in new encounters, and the effect of the Lotus plant.

Explanation:

In the excerpt from The Odyssey, Odysseus sends men to explore a new land and its inhabitants, the Lotus-Eaters. These inhabitants offer the explorers the Lotus plants, which have a sweet, addictive quality that causes the men to forget their home and their mission, desiring only to continue consuming the Lotus. The central idea in a paraphrase of this excerpt should note that the men sent out by Odysseus become forgetful and abandon thoughts of home after eating the Lotus offered by the non-hostile Lotus-Eaters, indicating the power of temptation and the potential danger in unfamiliar encounters.

Learn more about Lotus-Eaters in The Odyssey here:

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In the following sentence, identify the part of speech of the italicized word. Catching fish is one of the oldest pastimes.A. Adverb
B. Verb
C. Conjunction
D. Preposition

Answers

If 'is' is underlined, that is a verb. 

The answer is B. verb.

Which word is the subject of the sentence? In the elm tree cawed one large black crow.
a. tree
b. an understood you
c. crow
d. black

Answers

You first have toknow the meaning of the word Subject which is in this case the onewhich is asked. So, in a simple english sentence, a subject can be aperson, place, thing or an idea that is being discussed or studied.It may do or be something which the verb allows us to find out. Theverb of a sentence must always be considered. It is the one whichexpresses an action being done so in the sentence, “In the Elm Treecawed one large black crow”, we should look at the verb cawed whichis also in past tense. What is cawing? Therefore, the subject of thissentence is the crow because it is the one who does the verb “cawed”. The answer to this question is letter C.
Crow. If you can rearrange the words so that the sentence has the same idea its easier to find. Ex. One large black crow cawed in the elm tree

Kim was an extremely bright student. She had a memory and would always ace her quizzes. This ability stemmed from her reading habit. NextReset

Answers

Kim is indeed a bright student. She has the ability to memorize things and eventually, on top of the quizzes she took. Her ability is very stemmed from her reading habit. This sentence is True. Having the habit of reading and the schedule, other tasks as a student is easier because the foundation has already been built.

Answer:

Kim was an extremely bright student. She had a Prodigious memory and would always ace her quizzes. This ability stemmed from her voracious reading habit.

Explanation:

That's the answer

Prodigious: impressive, unusual in size, extent, degree, force, or other measurable facet

Voracious: extreme appetite for (often referring to food)

Which source helps you find words that mean the same thing as other words? Responses

Answers

Thesaurus.com is a useful website for finding synonyms to any word. Any physical or online dictionary does the job too.

Hope this helped!
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