What describes the end behavior of the polynomial function?

What Describes The End Behavior Of The Polynomial Function?

Answers

Answer 1

Answer:

[tex]x \to +\infty[/tex], [tex]f(x) \to +\infty[/tex] and [tex]x \to -\infty[/tex], [tex]f(x) \to -\infty[/tex].

Step-by-step explanation:

A polynomial is an algebraic function of the form:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

[tex]y[/tex] - Dependent variable.

Mathematically speaking, polynomials are unbounded functions, and from graphic we notice that polynomial is of order 3 due to the fact that function pass through the x axis three times, where each point is a root of the polynomial.

Then, we may conclude that:  

(i) [tex]\lim_{n \to +\infty} f(x) = N.E.[/tex]

(ii) [tex]\lim_{n \to - \infty} f(x) = N.E.[/tex]

Then, the right answer is: [tex]x \to +\infty[/tex], [tex]f(x) \to +\infty[/tex] and [tex]x \to -\infty[/tex], [tex]f(x) \to -\infty[/tex].


Related Questions

Pls I need help now! I’ll give you brainlist

Answers

Answer:

Its C

Step-by-step explanation:

solve the equation: 3q+7=40. q=?

Answers

Answer: q=11

Step-by-step explanation: 40-7=33 33/3=11

q=11

Answer:

q = 11

Step-by-step explanation:

3q + 7 = 40

    - 7    -7

3q = 33

-------------

     3

q = 11

PPPLLLEEEAAASSSE HHHEEELLLPPP! 14 points! Brainlliest, hearts, and stars!

Find the value of the power.

Answers

Answer:

216

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

6x6x6=216

Here is your answer

Select the correct answer.
Which graph has a domain of x
> -3

Answers

Answer:

the answer is actually c.

Step-by-step explanation:

I took the test and you would want the line to be going to the greater value of -3 because x is greater than -3.

Hope this helps :)

Answer:

the answer is c

Step-by-step explanation:

i took the test and got it right.

A right triangle has one angle that measures 69º. What is the measure of the other acute
angle?

Answers

Answer:

21°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180 for the other angle

other angle = 180° - (90 + 69)° = 180° - 159° = 21°

The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.

Which of the following are the dependent quantities?
a
1, 2, 3, 4, 5, 25, 50, 75, 100, 125
b
1, 2, 3, 4, 5
c
25, 50, 75, 100, 125
d
25, 1, 50, 2, 75, 3, 100, 4, 125, 5

Answers

Answer:

C is the answer

they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.

Step-by-step explanation:

I hope this helps :))

PLEASE HELP!!! THANKS!!!

Answers

Answer:

download socratic maybe there is the answer

In circle M with m \angle LMN= 98m∠LMN=98 and LM=18LM=18 units, find the length of arc LN. Round to the nearest hundredth.

Answers

Answer:

To the nearest hundredth, this is 30.79 units

Step-by-step explanation:

To find the length of the arc, we simply apply the length of arc formula

Mathematically, that would be;

theta/360 * 2 * pi * r

Theta here is 98

r is 18 units

So the length of the arc will be;

98/360 * 2 * 22/7 * 18

= 30.7876 units

to the nearest hundredth, this is;

30.79 units

Please help:( i don't understand this question Kendall’s benchmark test scores are the following: 89, 79, and 93. She has to take her fourth and final benchmark on June 6 th . She really wants to get an A in the class and in order to do so she must have an average of a 90. If Kendall’s teacher decides to count the final exam as two test grades, what would she need on the final test to make sure she gets an A?

Answers

Hey there!

The answer to your question is 94.5

We can use this equation, and solve: (we need to use "2x" because the score counts for 2 grades!)

(89 + 79 + 93 + 2x) / 5 = 90

(261 + 2x) / 5 = 90

261 + 2x = 450

2x = 189

x = 94.5

To check if it's right, we can add up all the scores, and divide by 5, and see if it's equal to 90. (Make sure to use 94.5 twice because it counts for 2 test grades!)

(89 + 79 + 93 + 94.5 + 94.5) / 5

450 / 5

90 ✔️

Hope it helps! Have a great day and good luck!

About 10% of people are left-handed. If there are 480 people in a movie theater, about how many of them are likely to be left-handed?

Answers

Answer: 48

Step-by-step explanation: 10% of 480 would be 48 because your finding 10% of 480. for example: 10% of 100 would be ten because if you multiplied 10 times 10 it would be 100.

Identify the slope and the y - intercept of the graph below.

Answers

Slope = x+1
Y intercept = (0,1)

What is 1 1/4 times 1 3/4?

Answers

Answer:

35/16      2 2/16

Step-by-step explanation:

1 1/4 = 5/4

1 3/4 = 7/4

5 * 7 = 35

4 * 4 = 16

35/16

Answer:

2 3/16

Step-by-step explanation:

First, we have to convert our mixed numbers to improper fractions, so our new equation is:

5/4 x 7/4 = 35/16

35/16 = 2 3/16

What's 31+1?
I really need to pass this quiz please

Answers

Answer:

32

Step-by-step explanation:

Well I don't really have a way to make this equation any simpler than just adding 1 to 31.

31 + 1 = 32

Hope you pass the quiz!!

this is a very hard question i had to use a calculator!!! 31 + 1 is 32

The sequence 5, 10.5, 16, 21.5...has a common difference of what?

Answers

The common difference is 5.5.

Which of the following inequality statements best represent the verbal expression? the sum of a number and 8 is less than 22 n + 8 > 22 n + 8 < 22 n + 8 ≥ 22 n + 8 ≤ 22

Answers

Answer:

n + 8 < 22

Step-by-step explanation:

Here, we want to select the inequality expression that best represents the statement

Sum of a number and 8 is less than 22

Let the number be n

Sum of n and 8

n + 8

is less than 22

n + 8 < 22

What does the 180 mean in this (n-2)180 and why do we multiply it

Answers

Answer:

Polygons can be separated into triangles by drawing all the diagonals that can be drawn from one single vertex. If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle.

You purchase a video game system for $150. You make a down payment of $25. You pay the rest of the money you owe in 5 equal monthly payments with no interest. How much is each monthly payment ?


Can you help me set the problem up too? thx

Answers

9514 1404 393

Answer:

  $25

Step-by-step explanation:

Let p represent the monthly payment. There are 5 of them, so the amount of their total is 5p. That, together with the down payment, makes up the entire cost of the system.

  5p +25 = 150 . . . . an equation representing the relationships

__

To solve this, subtract 25 and divide by 5.

  5p = 125

  p = 125/5 = 25

Each monthly payment is $25.

A quadratic function is defined by
g(x) = (x + 4)2 + 7

1. What is the vertex of the graph of function g?

2. Does the vertex represent the minimum value or the maximum value of the function?
Explain or show how you know.

3. If you were to shift this graph 6 units down from where it is now, what would be the equation represented by the new graph?

Answers

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x)   =    (  x + 4  )²  +   7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h =  -b/(2·a),  k = (-b²/(4·a) + c = -a·h² + c

c  =   k  +  a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

Add. (-x + 6) + (-5x + 8)

Answers

i think it may be x=4

In a science class, students water a plant with the same amount of water each day for 28 consecutive days. If the students use a total of 23.8 liters of water over the 28 days, how many liters of water did they use each day? How many milliliters did they use each day?

Answers

Answer::::::::::::::::::::::::::::::::::::

Answer:

28,800 Milliliters

Step-by-step explanation:

Hope it help's i used a caculator. it cheack my awnser

☺️☺️❤️ or 1,770 depends on the way you do it. [tex]hope it helps and have an amazing day!!![/tex] can  u under stand than XD

how do u solve 6(x+2)+6=-3(x+4)-6

Answers

6(x+2)+6=-3(x+4)-6
6x+12+6 = -3x-12-6
6x+18 = -3x-18
6x+3x = -18-18
9x= -36
X= -36/9
X= -4

Answer:

[tex]\boxed{\sf x=-4}[/tex]

Step-by-step explanation:

[tex]\sf 6\left(x+2\right)+6=-3\left(x+4\right)-6[/tex]

[tex]\boxed {\sf Expand: \: Use \: the \:distributive \:property}[/tex]

[tex]\sf 6\left(x+2\right)+6[/tex]

→ [tex]\sf 6x+12[/tex]

[tex]\sf -3\left(x+4\right)-6[/tex]

→ [tex]\sf -3x-18[/tex]

____________________

[tex]\sf 6x+18=-3x-18[/tex]

[tex]\boxed{\sf Subtract\: 18 \: from \: both\: sides:}[/tex]

[tex]\sf 6x+18-18=-3x-18-18[/tex]

[tex]\sf 6x=-3x-36[/tex]

[tex]\boxed{\sf{Add\:}3x\sf{\:to\:both\:sides}}[/tex]

[tex]\sf 6x+3x=-3x-36+3x[/tex]

[tex]\sf 9x=-36[/tex]

[tex]\boxed{\sf{Divide\:both\:sides\:by\:}9}[/tex]

[tex]\sf \cfrac{9x}{9}=\cfrac{-36}{9}[/tex]

[tex]\sf x=-4[/tex]

_________________________

10y − 6y + 2y + 2y = 8

Answers

Step-by-step explanation:

[tex]\tt{10y-6y+2y+2y=8 }[/tex] ⠀

[tex]\tt{14y-6y=8 }[/tex] ⠀

[tex]\tt{ 8y=8 }[/tex] ⠀

[tex]\tt{ y=\dfrac{8}{8} }[/tex] ⠀

[tex]\tt{ y=1 }[/tex] ⠀

Answer:

y=1

Step-by-step explanation:

10y-6y+2y+2y=814y-6y=88y=8y=1

Is 2 5ths greater than 2 6ths 

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1. find a common denominator,

2/5 = 12/30

2/6 = 10/30

2. compare,

12/30 is greater than 10/30

Hope this helps! (and is correct)

What is 16g + 20h using distributive property?

Answers

Answer:

4(4g+5h)

Step-by-step explanation:

do you want an explanation?

btw, plz brainliestt :)

Answer:

4 (4g+5h)

Step-by-step explanation:

Factor out the 4.

You spend 10 minutes playing video games. You then spend 1-hour doing homework. Write the ratio of the amount of time spent playing video games to the amount of time spent doing homework as a fraction in simplest form.

Answers

here u go

hope you can understand my handwriting

Langston has $45$ greeting cards. He gives $18$ of the cards to his friends. What percent of his greeting cards does he give to his friends?

Answers

27, subtract 45 and 18

PLEASE HELP QUICK!!!!!!! WILL GIVE BRAINIEST!!!!!!!!

Answers

Answer:

C. The answer is molecular motion.

Step-by-step explanation:

When a molecule moves it would heat up. Therefore, by moving it would heat up.

Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the sales tax? * 10 points

Answers

Answer:

2.51

Step-by-step explanation:

The tax would cost 2.51 and in total would cost 38.31.

8t+1+(−4t)+(−6)





nnnnjhjknhhnknknnkhnknhkn

Answers

Answer:

8t + ( -4t) - 5

Step-by-step explanation:

8t + 1+ (-4t)-6

8t- 5 + (-4t)

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.

The term –2(x – 2)2 is simplified by first squaring the expression x – 2.
The simplified product is a binomial.
After multiplying, the like terms are combined by adding and subtracting.
The parentheses are eliminated through multiplication.
The final simplified product is –28x2 +8x – 8.

Answers

Answer:

A C and D

Step-by-step explanation:

look a the attached picture

The term –2(x – 2)² is simplified by first squaring the expression x – 2.

After multiplying, the like terms are combined by adding and subtracting.

The parentheses are eliminated through multiplication.

What is simplification of algebra?

The given algebraic expression can be simplified by resolving the parenthesis first followed by adding similar terms together.

Simplification of the expression

3x(x – 12x) + 3x² – 2(x – 2)²

= 3x² - 36x² + 3x² - 2(x² - 4x + 4)

= -30x² - 2x² + 8x - 8

= -32x² + 8x - 8

Thus, the correct process of simplification include;

The term –2(x – 2)² is simplified by first squaring the expression x – 2.After multiplying, the like terms are combined by adding and subtracting.The parentheses are eliminated through multiplication.

Learn more about simplification of algebra here: https://brainly.com/question/432678

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