nayiiii1874

22.03.2021 • 

Mathematics

Let’s practice making the decision of which part of the piecewise function to substitute our x value into, and then evaluating. f(x)=⎧⎩⎨⎪⎪−6,x≤−13,−1
For the above piecewise function, find f(x) for the following.

x=−3
This one is pretty straightforward. If x=−3, which domain category does it fit into?

Answer

Find f(−3):

Since −3≤−1, we know that the answer to f(−3) will be −6, since that is the part of the function that matches with x≤−1. When you have just a constant for a part of a piecewise function, that means that any input (x-value), you put in that falls within that domain (in this case all numbers less than or equal to −1), you will always get the answer −6. You don’t even have to substitute and calculate anything. That means that f(−3)=−6 and f(−4)=−6, and so on.

x=−1
Careful, this one can be a little bit tricky. Look carefully at those inequality signs. Which domain does this x=−1 fit into?

Answer
x≤-1

Find f(−1)

If you look at your domain categories, you may have noticed that −1 is listed twice. How do you decide which one is the right one? Notice that for x−1, this is saying x is less than or equal to −1, so this is the category that applies. The other, −1
x=2
Which domain does this x=2 fit into?

Answer
-1 < x < 3

Find f(2).

f(2)= Answer

x=3
Which domain does this x=3 fit into? (Be extra careful with this one again, remember.)

Answer
x≥3

Find f(3). (Hint: You will need to actually substitute and calculate for this one.)

f(3)= Answer

Ответ:

Arellano2373

20.11.2020

Mathematics

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This question asks to change description of what characters in the text have said into direct dialogues. But the text itself, an excerpt, is missing, and the question is in Polish. So, basically, what you need to do is to transform 3rd person wording into 1st person, direct speech.

Explanation:

What a dialog should have to be understood and correct:

quotation marksseparate paragraph for each speakerspeech tags

For a dialogue to be clear you need to know (and readers too) its purpose. When you quote your character, make him/her sound natural. Do not over do it! Speech tags are necessary when it is not clear from the words who, why and to whom is talking to. But be careful, speech tags can be tricky and very boring. Make sure you change tem, you use a variety of them, and you add some dynamic by inserting them in different places of dialogue.

For a dialogue to sound realistically, writers often use words common in spoken language, such as "ugh", "um", "like". Although those are not grammatically correct, they will add some "natural glare" to your dialogue (but of course, be careful with them). Slang and colloquialisms can be helpful, too.  

It is good always to have those main rules for dialogue writing on a side, so you can always look at them when you're stuck. Put them together, add some examples from your favourite books or essays, and after some time, you will write like a pro!

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