What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?

What Is The End Behavior Of The Graph Of The Polynomial Function F(x) = 3x6 + 30x5 + 75x4?

Answers

Answer 1

Answer:

rises to the left and rises to the right

Step-by-step explanation:

Answer 2

The end behavior of the graph of f(x) = 3x⁶ + 30x⁵ + 75x⁴ is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of the polynomial function is 6, which is even, and the leading coefficient is positive, so the end behavior of the graph is as follows:

As x approaches negative infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) approaches positive infinity.

As x approaches positive infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) also approaches positive infinity.

Therefore, the end behavior of the graph of f(x) is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.

Learn more about the polynomial here:

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Related Questions

What is the difference between an independent variable and a dependent variable in statistics?

Answers

Answer:

The cause is the independent variable. In your study, its value is independent of other variables. The affect is the dependent variable. Its value depends on the independent variable being changed.

Step-by-step explanation:

10. Logan places a mirror on the floor 220 cm from the base of a wall. He holds a flashlight 130 cm above the ground and shines the beam onto the mirror. How far must Logan stand back from the mirror so that the height at which the light shines on the wall is 100 cm greater than the height at which Logan holds the flashlight?

Answers

Answer:

124.35 cm

Step-by-step explanation:

Step by step solution in the attachment

PLS HELPPPPPPPPPPPPPP IM CRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Answers

Answer:

1. 3.75 or 3/4

2. 5.3

3. 4.5

4. 3.4

Step-by-step explanation:

hope this helped i tried :/

1) 3.75

2) 5.33

3) 4.5

4) 3.42

1 to 8 plz plz plz help me

Answers

Answer:

1-8 = -7

Step-by-step explanation:

1 - 8

1 0 -1 -2 -3 -4 -5 -6 -7

Shane bought an 18 pound bag of dog food. He feeds his dog pound of dog food 5/3 for each meal. If Shane feeds his dog twice a day every day, how many days will the 18 pound bag of dog food last?

Answers

Answer:

18 pounds of dog food will last 3 days.

Step-by-step explanation:

We know that he has 18 pound of dog food and he is giving 3 pound of food twice every day, so 3 * 2 would be 6. So we need 6 pounds of dog food is being fed every day. Since we want to find out how much dog food 18 pound bag could last, you would divide 18 by 6 so 18/6 would get you 3. So we know 18 bag of dog food will last 3 days.

It will last for 3 days i believe.

3. Find the rule for the function
table. 4 = ?

Answers

Answer:

4 = 12

Here is your answer.

Answer:

1x4=4

2x4=8

3x4=12

4x4=16

5x4=20

Sarah has some chocolates.
24 are white chocolate.
16 are milk chocolate.
8 are dark chocolate.
(a) Write down the ratio of white chocolate to milk chocolate to dark chocolate.
Give your ratio in its simplest form.​

Answers

Answer:

3:2:1

Step-by-step explanation:

24 divided by 8 is 3, 16 divided by 8 is 2, 8 divided by 8 is 1.

Find the surface area of the figure shown. The surface area of the figure is
cm?
9 cm
4 cm
6cm​

Answers

Answer:

216

Step-by-step explanation:

Your going to want to multiply width x length x heigth

First your going to multiply width and length then multiply the answer of that to height.

Answer:

228

Step-by-step explanation:

A cuboid consists of 6 sides, 2 sides will be 9*6, 2 more will be 6*4, 2 more will be 6*9

So because there is 2 sides you will multiply the side by 2 so there is another side:

(6*9) * 2 = 108

(4*6) * 2 = 48

(4*9) * 2 = 72

108 + 48 + 72 = 228

Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is.

Answers

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

Then you need to plug numbers in for x

10. Inductive Reasoning means...
a) Guessing
b) Testing and observing patterns to make
conjectures
O c) Explaining why
d) Ura nok seblu!

Answers

I believe it’s b
Hope this helps

In this diagram, ABAC – AEDF. If the
area of ABAC = 15 in2, what is the
area of AEDF?
D
E
4 in
F
B
5 in
Area = [?] in
Enter a decimal rounded to the tenths,
1

Plz help ive been on this for 2 hours.

Answers

Answer:

48/5in2=9.6in2 ~ 10in2

Work out
169% of 705.8kg
Give your answer rounded to 2 DP.

Answers

Step 1: 705.8x(169/100)=1192.802
Step 2: round to 2 DP so it will be 1192.80
THE FINAL ANSWER IS 1192.80kg
^^^thats the correct answer just second person verification!

NEED HELP ASAP!! ill mark brainliest

Answers

Answer:

number first is the answer

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the functions.

According to the power of the functions, positive power is more than the negative one hence, for any value of x, the value of function y is always positive.

Hence the answer is option D.)

===>

x==> - infinite, y => infinite and x=> infinte, y=> infinite

(3.2 + 6.8)x - (36 divided by 4)x PLEASE HELPPP

Answers

Answer:

i dont no but what i got was 10x+144d^3 but do u want to sovle for x i got u X

Step-by-step explanation:

WILL GUVE BRAINMIEST HURRY PLS

Answers

Answer:

pi= 3.14159

r= half of diameter , it is 4

h= 20

v= pi (4) ^2 (20)

Step-by-step explanation:

V=3.14x4 squared x20
502.4

(DONT ANSWER JUST FOR POINTS!!!) What is the ratio value shown by this double number line? [Type your answer as a fraction. Use / for the fraction bar and do not use spaces.]

Answers

Answer: 7/2

Step-by-step explanation:

To find the ratio between the 2 numbers u have to divide the top numbers by the bottom numbers. 7/2 = 3.5 converted into a fraction is 7/2.

Hope this helps :)

Find the exact value of cos 105degrees

Answers

Answer:

[tex] \sqrt{2} - \sqrt{6} [/tex]

over 4

20 x(-1) = *
Your answer
-20

Answers

Answer:

Yes that is very much correct y'know thanks for the free points

Step-by-step explanation:

Can you please help me?

Answers

Answer: x=w−y

Step-by-step explanation: x+y=w

x+y+−y=w+−y

x=w−y

A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
radius of the cylinder is 5.8 cm and the length is 50 cm. Find the volume of the metal used.
step by step explain plz​

Answers

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex] V = \pi r^{2} h [/tex]

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal ([tex]V_{m}[/tex]) can be found by subtracting the internal volume ([tex]V_{i}[/tex]) from the external volume ([tex]V_{e}[/tex]):

[tex] V_{m} = V_{e} - V_{i} [/tex]

[tex] V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h [/tex]    

The external radius is given by the sum of the internal radius with the tickness:

[tex] r_{e} = t + r_{i} [/tex]

Hence, the volume is:

[tex] V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3} [/tex]

           

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

Moussa's family took a road trip to the Grand Canyon. Moussa fell asleep after they
had travelled 434 miles. If the total length of the trip was 700 miles, what percentage
of the total trip had they travelled when Moussa fell asleep?

Answers

Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

Hopefully this helps you

if x stands for am number what is the mathematical phrase that represents three more than the number​

Answers

I think it’s just

x (times) 3

The store is offering 15% discount. The regular price of a T shirt is $23 , what is the discount?

Answers

Answer:

$3.45

Step-by-step explanation:

15% of 23 is 3.45

19.55$ hope this helps

AC=1
Round your answer to the nearest hundredth.
B
6
70
А
?
С

Answers

Answer: 2.18

Step-by-step explanation:

Angle B= 180- (Angle A + Angle C)

= 180- (70+90)

= 180-160=20

((sin A)/BC)=((sin B)/AC)

((sin 70)/6)=((sin 20)/AC)

(0.9/6)=(0.3/AC)

AC= (6*0.3)/0.9

AC= 2.18

PLZZZZ HELLLLPPPPP IF U DO U ARE MY HEROOOOO FR

Answers

Answer: The second one

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:


5) How many thousands are there in 2 158 621?​

Answers

Answer:

2,158,621 = 2 (i think)

2




Blah blah blah blah

A) G
17 + 4x
H
4x+12/
1159
D
A) 12
C) 13
B) 3
D) 14

Answers

Answer:

d I do believe good luck with the answer I hope it right

How do I find what AC is?

Answers

Answer:

sqrt(882) or 29.698

Step-by-step explanation:

AD^2 + DC^2 = AC^2

sqrt(21^2+21^2) = 29.698

In a large city’s recent mayoral election, 131,506 out of 309,153 registered voters actually turned out to vote. If 20 registered voters are randomly selected, find the probability that 7 of them voted in the mayoral election. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

The probability that 7 of them voted in the mayoral election using the calculator is 0.1455

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The probability of registered voters actually turned out to vote:

= 131,506/309,153

p = 0.4254

n = 20

From the calculator:

P(X = 7) = 0.14546189

or

P(X = 7) = 0.1455

Thus, the probability that 7 of them voted in the mayoral election using the calculator is 0.1455

Learn more about the probability here:

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What type of correlation relationship would the size of a dog and the amount of food the dog eats be and why?

Answers

Step-by-step explanation:

The ratio and proportion is the mathematical concept that can explain the correlation between the size of a dog and the amount of food it eats. For example dogs weighing 3 to 7 kg should consume 67 to 112 grams of food per day, that is, the amount of food must be proportional to the weight of the dog.

The ratio and proportion are interconnected concepts that allow the understanding of comparison between quantities.

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