What is the end behavior of the graph of f x x5 8x4 16x3?

Answers

Answer 1

The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is asymptotic: it goes towards positive infinity as x approaches positive infinity, and negative infinity as x approaches negative infinity.

The end behavior of the graph of a polynomial function with degree 5 is determined by the leading term, which in this case is x^5. Since the degree of the leading term is odd and the coefficient is positive, the graph of f(x) = x^5 + 8x^4 + 16x^3 will approach positive infinity as x approaches positive infinity, and negative infinity as x approaches negative infinity. This is known as an asymptotic end behavior. As the x-values get larger and larger, the magnitude of the y-values will also get larger and larger, approaching infinity in either direction. This can be seen by looking at the graph of the function, which will have an "S" shape that curves up and to the right (positive infinity) for large positive x-values, and down and to the left (negative infinity) for large negative x-values.

For x > 0, the end behavior is:

f(x) = x5 + 8x4 + 16x3

lim x→∞ f(x) = lim x→∞ x5 + 8x4 + 16x3

lim x→∞ f(x) = lim x→∞ x5

lim x→∞ f(x) = +∞

For x < 0, the end behavior is:

f(x) = x5 + 8x4 + 16x3

lim x→−∞ f(x) = lim x→−∞ x5 + 8x4 + 16x3

lim x→−∞ f(x) = lim x→−∞ x5

lim x→−∞ f(x) = −∞

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Related Questions

Which formula should be used to calculate the amount of paper needed?

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Answer:

Step-by-step explanation:

I=PRT where I =interest P=principal, R=rate, and T =time is

If a figure can be rotated 6 times, it has how many lines of rotational symmetry?

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Answer: The answer is 7

Step-by-step explanation:

Parallelograms in geometry.

Answers

Answer:

x = 16

Step-by-step explanation:

In a parallelogram , consecutive angles sum to 180° , then

3x + 5 + 9x - 17 = 180

12x - 12 = 180 ( add 12 to both sides )

12x = 192 ( divide both sides by 12 )

x = 16

take off the parentheses and then take off the number and the degrees symbol with the plus sign

take off the parentheses from the 9,-,17, and the degrees symbol

now your left with 2 x'

do x-x = what?

it it x

period

PLEASE HELP ILL GIVE BRAINLIEEST
SHOW WORK

Answers

You know that it's a bot when it says "explanation in file".

They forgot to put a question, there's nothing to answer...

Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Sarah to end up with $410?



Plzzz helppp

Answers

Answer:

4.2%

Step-by-step explanation:

Help I’ll give Brainly est

Answers

Answer:i think a

Step-by-step explanation:

You are testing two food scales for accuracy by weighing two different types of foods. Use the drop-down menus to complete the statements about the scales' accuracy. Scale 1 Measured Weight Actual Weight 85 oz 100 oz Scale 2 Measured Weight Actual Weight 47 oz 50 oz CLEAR CHECK Because the object on Scale 1 weighs more than the object on Scale 2, each ounce of error results in a lesser percent error. Scale 1 was 15 ounces off and Scale 2 was 3 ounces off, so Scale 1 was % off and Scale 2 was % off.

Answers

Answer:

scale 1 was 15% off and SCALE 2 was 6% off

Step-by-step explanation:

Scale __ Measured Weight ____Actual Weight

1_________85 oz _______________100 oz

2 ________ 47 oz _______________ 50 oz

Percentage error :

[(|measured - actual |) ÷ actual] * 100%

Scale 1 :

|85 - 100| = 15 oz

15 / 100 * 100% = 15%

Scale 2 :

|47 - 50| = 3 oz

3 / 50 * 100% = 0.06 * 100% = 6%

Hence, scale 1 was 15% off while SCALE 2 was 6%

PLEASE HELP WILL GIVE BRAINLIEST!
A dart board contains 20 equal sized sectors numbered 1 to 20. A dart is randomly tossed at the board 10 times. what is the probability that the dart lands in sector 20 exactly 5 times?

Answers

Answer:

it 20 chews 5 over 20 chews 10

= 20! / (20-5)! times 5!  over 20! / (20-10)! times 10!

=15504/ 184756= .08 or 8%

Step-by-step explanation:

have a good day/night

may i please have a branllliest

sorry if wrong :(

please help im not good at this kind of math T-T 20 points :)

Answers

Answer:

Step-by-step explanation:

huh

Answer:

Step-by-step explanation:

y=13-3x

when x=0

y=13-3(0)

y=13

when x=1

y=13-3(1)

y=13-3

y=10

when x=2

y=13-3(2)

y=13-6

y=7

when x=3

y=13-3(3)

y=13-9

y=4

when x=4

y=13-3(4)

y=13-12

y=1

(10x-1)+(17x-8)=180
What is X?
Thanks so much xx

Answers

Answer:

X= 7

Step-by-step explanation:

Well first combine like terms

27x-9=180

Isolate from the variable

27x=189

x=7

The final answer is 7

Answer:

x =7

Step-by-step explanation:

( 10x -1) +(17x -8 ) =180

step 1 : since you have a plus sign in between it make it easy

so take care of the parentheses first

10x -1 + 17x - 8 = 180

step 2 : put together thw variable x

10x + 17x -1 -8 = 180

27x -9 =180

step 3 : take out -9 to the right and the sign will change

27x = 180 +9

27x = 189

x = 189 ÷ 27

x = 7

H2CO3 → H2O + CO2 answer

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This type of reaction almost always produces a gas.... what are u needing like what’s the equation or answer?

Can someone please help me ASAP!!

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the surface is around 65

Nicole and lan generate two patterns. Nicole uses the rule multiply by 3 then add 2 starting with 1. lan uses the rule add 1/2 then multiply by 2 starting from 0. Complete the table to show the numbers in each pattern. Then create the ordered pairs.​

Answers

Nicole's pattern:

5

17

53

161

485

Ian's Pattern:

1

3

5

10

20

Coordinate Pairs:

5,1

17,3

161,10

485,20

HOPE IT HELPS

The coordinate pairs of Nicole and Ian's sequence pattern are; (5, 1), (17, 3), (53, 5), (161, 10), (485, 20)

How to write Coordinate Pairs?

We are told that Nicole's pattern is multiply by 3 then add 2 starting with 1.

Thus, nicoles numbers sequence pattern is;

5, 17, 53, 161, 485

Then Ian's Pattern is add 1/2 then multiply by 2 starting with 0. Thus, his numbers are;

1, 3, 5, 10, 20

Finally, the Coordinate Pairs are;

(5, 1), (17, 3), (53, 5), (161, 10), (485, 20)

Read more about Coordinate pairs at; https://brainly.com/question/10690059

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Please help. I need the help.

Answers

Answer: Annalise says that Philip will earn $320 more at First Bank than at GrandBank.

Step-by-step explanation:

Formula for Simple interest = Principal × Rate × Time

At GrandBank, the simple Interest will be:

= $2000 × 6% × 8

= $2000 × 0.06 × 8

= $960

At First Bank, the Simple interest will be:

= $2000 × 8% × 8

= $2000 × 0.08 × 8

= $1280

Based on the above, Philip will earn ($1280 - $960) = $320 more at First Bank.

If lines AB and CD are parallel, which of the following statements are true?
Check all that apply.
A. AB and CD are perpendicular
B. ABICO
O C. AB and CD intersect at a single point
D. AB || CD
E. AB and Co are skew lines
F. AB and CD are coplanar

Answers

Answer:

D

F

Step-by-step explanation:

Parallel lines are lines of equal distance apart (equidistant), that are on the same plane but they never meet

Perpendicular lines meet thus they are not parallel lines

Also, lines that intersect , meet, thus they are not parallel lines

Answer: D. AB||CD

              F.  AB and CD are coplaner

Step-by-step explanation:

0.14 cm = ______ m




Conversions

Answers

Answer:

0.14 cm = 0.0014m

Step-by-step explanation:

So the phrase is:

“King Henry Died Belly Up Drinking Chocolate Milk”

The c is centimeters and meters is in between "died" and "drinking".

So 0.14 cm = 0.0014m

Because you are moving 2 to the left on the phrase so you move the decimal point 2 to the left.

***Belly up is bolded because it stands for base unit (meters, liters, gram, etc.)

I hope this makes sense!

Help please not sure what it can be!

Answers

y=-3x - 3
because if you look at the point (-1,0) it goes up three and left one and the left makes it a negative. and the -3 (b) is the y intercept

im not sure if its too small or not

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Answer:

area of ring shape =

[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]

=

[tex]36\pi - 16\pi[/tex]

=

[tex]20\pi[/tex] square inches

The volume of the rectangular prism is ________ cm3

Answers

Answer:

volume of rectangular prism =l×w×h

volume of rectangular prism =4cm×2cm×7cm

volume of rectangular prism =56cm³

Answer:

The volume of the rectangular prism is [tex]56cm^3[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism, you need to multiply the length, width, and height of the rectangular prism altogether. In this case, the length is 4cm, the width is 2cm, and the height is 7cm. So the volume of the rectangular prism would be [tex]7*2*4[/tex] = [tex]7 * 8[/tex] = [tex]56cm^3[/tex].

Please please ASAP ASAP please ASAP thank you so
No links or files

Answers

Answer:

c

Step-by-step explanation:

the answer is c (thank you if its right, sorry if its wrong)

I NEED HELP ON THIS ASAP!!!!!

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Answer:

1. 3.48 i think but 2. is 115

Step-by-step explanation:

Which is equivalent to 64 1/4
2 4v4
4
16
16 4v5

Answers

Answer: A

Explanation

can somebody please please help me :/

Answers

if you divide your y factor by your x factor on each one then round you should get 2.2 or round to 2.2! hope that helped

first to answer get 100 points and brainiest. Serious by the way

Answers

Answer: What can I say execpt your welcome

Step-by-step explanation: Get nae naed

Answer:

Ok then but seriously this is meant as a school homework site it isnt just for friends or things you want you may get banned for things such as  this

Step-by-step explanation:

Can someone Help me please

Answers

Step-by-step explanation:

Given,

In triangle ABC. In triangle DBC

AB. = DB.

[Given]

<ABC. = <DBC

[Given]

BC. = BC

[Common side]

Hence,

As two sides and one angle of triangle ABC and triangle DBC are equal.

Therefore,

Triangle ABC is congruent to Triangle DBC

*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*

Which of these statements best describes a biased sample?



A. The sample is small



B. The sample has results that are incorrect predictions



C. The sample does not accurately represent the population



D. The sample was chosen randomly

Answers

Answer:

C) The sample does not accurately represent the population

Answer:

C

Step-by-step explanation:

If you go to go   o   g  l    e and search up "bias sample examples" it will give you examples! I hope I helped :)

What is the slope of the line 4x – 2y = 5?

–4
–2
2
4

Answers

Answer:

It is 2.

Step-by-step explanation:

The equation becomes -2y=-4x=5

But you divide by -2 to get y solo. So -4/-2=2.

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x - 2y = 5 ( subtract 4x from both sides )

- 2y = - 4x + 5 ( divide all terms by - 2 )

y = 2x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form

with slope m = 2

Question 7
Which expression is equivalent to the expression shown?
10 x 40
45
104 x 4
15
9
9
40
104 x 45

Answers

Answer:

10^4x 4^5 hope that helps you out

(3a²b-4ab²+a²b²)-(2ab²+a²b²+5a²b)

Answers

Answer:

8ab

Step-by-step explanation:

Answer:

-2a^2b-6ab^2

Step-by-step explanation:

(3a²b-4ab²+a²b²)-(2ab²+a²b²+5a²b)

3a²b-4ab²+a²b²-2ab²+a²b²+5a²b

(3a^2b-5a^2b)+(-4ab^2-2ab^2)+(a^2b^2-a^2b^2)

-2a^2b-6ab^2

Help ASAP!!!!! Can someone help me??
(And no I’m not gonna click a link)

Answers

Answer:

Sorry i couldnt upload the file i uploaded it onto a file host link is below

brainly.com

also im joking ;)

Answer:

1: 3x^2+2x+2

2: x = 1/4 or 4x+1. (I don't know which way your teacher likes it)

Step-by-step explanation:

Message if want work

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