All categories

3 years ago

Which of the following functions are continuous. Select all that apply.

Mathematics

2 answers:

MrMuchimi3 years ago

7 0

<h2>Answer:</h2>

The function which are continuous are:

Function 2 and Function 3. (graphs attached)

<h2>Step-by-step explanation:</h2>

We know that a function is said to be a continuous function if the limit at each of the points exist and is equal to the value of the function at that point.

Also, in the graph of a continuous function there is no break i.e. the graph is connected at all the points.

Here we observe that in the first graph there is a break close to x=0.

and hence the function is not continuous.

The graph of second function is continuous since the limit exist at all the points.

The graph of the third function is again continuous.

But the graph of the fourth function is not continuous since, the left as well as right hand limit at x= -1 is not equal.

This means that the limit at x= -1 does not exist and hence the function is not continuous.

Temka [501]3 years ago

5 0

>>1st one- at X=0 Y=DNE so the function is not continious.
>>2nd one- there is Y value for every X so the function is continious.
>>3rd one- there is Y value for every X so the function is continious.
>>4th one- f(-1)=1 does not equal the limit of f(x).

because the limit as X aprroaches from the left and from ther right is different.

You might be interested in

A student is given this proof.

Alenkasestr [34]

From the steps below, it has been proved that by transitive property of congruence, we can say that; ∠CON ≅ ∠BOM

<h3>How to prove congruent angles?</h3>

We are given;

∠AOM ≅ ∠DON

To prove that;

∠CON ≅ ∠BOM

Now, from the image attached, we can say that;

∠BOM ≅ ∠DON because of vertical angles theorem

Similarly, we can say that ∠AOM ≅ ∠BOM due to transitive property of congruence.

Also, we can say that from vertical angles theorem, ∠AOM ≅ ∠CON

Finally, since ∠AOM ≅ ∠BOM, then by transitive property of congruence, we can say that;∠CON ≅ ∠BOM

Read more about Congruent Angles at; brainly.com/question/3168048

#SPJ1

5 0

1 year ago

In a factory a manager tests 250 products and find defcts in 7 of them how many defcts are likely going to be in 10000 unit orde

Kisachek [45]

So first you take 7/250*x/10000 and you cross multiply. Then you get
70000=250x
and the answer is
x=280

I hope this helps!!!!!!!

7 0

3 years ago

The first year of operations for a company was Year 1. The net income for Year 1 was $21,100 and dividends of $12,550 were paid.

leonid [27]

Answer:

Amount of retained earnings at the end of Year 1 was $8,550

Step-by-step explanation:

In Year 1

net income= $21,100

dividends = $12,550

In Year 2

Net income = $35,100

Paid dividends = $5,550

At the end of Year 1, the company had total assets of $161,000

At the end of Year 2, the company had total assets of $ $251,000

Retained Earning at the end of Year 1 = Opening balance + Net Income - Dividend paid

Retained Earning at the end of Year 1 = 0 + 21,100 - 12,550 = 8550

6 0

3 years ago

Ricardo has 2 cases of video games With the same number of games in each case.He gives 4 games to his brother. Ricardo has 10 ga

son4ous [18]

7 video games were in each case.

Step-by-step explanation:

-So, Ricardo has 2 cases of video games with the same amount of games per case.

-He gives 4 games to his brother and is left off with 10 games.

Add 10+4 to get the total amount of games.

Since there are 2 cases, divide the total amount of games (14) by the total amount of video game cases.

This gets us 7, which is the starting amount of video games in each case.

8 0

2 years ago

PLEASEE HELPP Analyze these two graphs, which show the population growth (per thousands of people) of North Carolina and the Uni

Tju [1.3M]

I believe it’s A because if you notice the rate of population grow was in the 20,000s for the US in the 1840s, while NC was hitting 600 free people at that time.

5 0

3 years ago