what have you noticed of the graph of the polynomial function if the degree is an odd number

Answers

Answer 1

Answer:

1. Find the intercepts.

2. Check for symmetry. If the function is an even function, its graph is symmetric with respect to the y-axis, that is, f(–x) = f(x).

If a function is an odd function, its graph is symmetric with respect to the origin, that is, f(–x) = –f(x).

3. Use the multiplicities of the zeros to determine the behavior of the polynomial at the x-intercepts.

4. Determine the end behavior by examining the leading term.

5. Use the end behavior and the behavior at the intercepts to sketch the graph.

6. Ensure that the number of turning points does not exceed one less than the degree of the polynomial.

7. Optionally, use technology to check the graph.


Related Questions

Helpppppp!!!!!!!!!All you need to do is explain the steps!!!!

Answers

Answer: Heyy Bestie <3

The Answer Steps are down below

Stay Sliving

The thing is that's all I got. There is no other way to simplify it. Are you sure that is the right equation?

If 20% of a number is 28 and 25% of the same number is 35, find 45% of that number.If 7% of a number equals 9, find 70% of that number.

Answers

Answer:

Step-by-step explanation:

Let the number be 'x'

20% * x = 28

[tex]\dfrac{20}{100}*x = 28\\\\\\\dfrac{1}{5}*x=28\\\\\\x=28*5\\\\x = 140[/tex]

[tex]\dfrac{45}{100}*140=9*7=63[/tex]

45% of 140 = 63

2)

[tex]\dfrac{7}{100}*y=9\\\\y=9*\dfrac{100}{7}=\dfrac{900}{7}=128.57[/tex]

[tex]\dfrac{70}{100}*128.57= 90[/tex]

Plz, help I'll give brainiest thank you in advance.

Answers

#a

Diago collected=x

Lin collected:-

[tex]\\ \sf{:}\dashrightarrow x+\dfrac{2}{5}=\dfrac{5x+2}{5}[/tex]

#b

Lin biked=x km

Diago biked.

[tex]\\ \sf{:}\dashrightarrow x-3/10=10x-3/10[/tex]

#c

diago read=x

Lin read

[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{7}\:of\:x[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{4x}{7}[/tex]

Help pls I don’t understand this shi

Answers

Answer:

It's kind-of blurry, can you copy-paste the questions?

Step-by-step explanation:

In a two digits number the sum of the digit is 8. The difference this number and the number with the digits reversed is 54. What is the number?​

Answers

b#~8=+/"1 sep b=.a#~54=|a-10#.|."1 sep a=.10 to 99

17 71

Alternately:

10#.b#~(8=+/"1 b)*.54=|a-10#.|."1 b=.sep a=. 10 to 99

17 71

The answer is 71.

71 - 17 = 54.

Ariana bought 14 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.

Answers

Answer:

x = 14/p.

There can really be 2 answers that are both proportional and rational.

7 packages, 2 toys in each.

2 packages, 7 toys in each.

Please solve with explanation

Answers

Answer:

large area: small area = 100:25 = 4:1

Step-by-step explanation:

Mid-Segment of a triangle is always parallel to the third side, and the length of the midsegment is half the length of the third side.

(x₁,y₁) (x₂,y₂) (x₃,y₃): A(-10,30), B(30,50, C(-40,20)

XY = 1/2 AC , YZ = 1/2 AB , ZX = 1/2 BC

X (10,40) , Y (-5,35) , Z (-25,25) : X(x'₁,y'₁), Y(x'₂,y'₂), Z(x'₃,y'₃)

area of triangle by 3 vertices: (x₁,y₁) (x₂,y₂) (x₃,y₃) is

a = abs[x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)] / 2  ... this is just a common formula for any triangle

a = abs(-10*30 + 30*-10 + -40*-20) / 2 = 100

a' = abs(10*10 + -5*-15 + -25*5) / 2 = 25

a/a' = 100/25 = 4/1

thankyou for all help

Answers

Answer:

The question is not clear the picture is cut off

Step-by-step explanation:

A tractor can plant a field at a rate of 2.5 acres per 5 minutes. If a mammoth farm measuring 4 square miles needs planting, how long will it take in hours to plant the field? There are 640 acres in a square mile. Determine your answer to the nearest hour. If the tractor can run 8 hours a day, what is the minimum number of days it will take to plant the farm?

Answers

The time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.

The minimum number of days taken by the tractor when working 8 hours a day is 11 days.

What is the area?

The area is the total surface occupied within the boundary of the figure.

How to solve the question?

In the question, we are given that a tractor can plant a field at a rate of 2.5 acres per 5 minutes.

We are asked the time taken by the tractor to plant a field having an area of 4 square miles.

First, we convert the area of the field from sq. miles to acres using the conversion rate, 1 square mile = 640 acres,

Thus, the area of the field = 4 sq. miles = 4*640 acres = 2560 acres.

Time taken to plant 2.5 acres is given to be 5 minutes.

Thus, the time taken to plan 1 acre = 5/2.5 = 2 minutes.

Thus, the time taken to plant the field having an area of 2560 acres = 2560*2 minutes = 5120 minutes = 85.33 hours =  85 hours and 20 minutes.

Thus, the time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.

The time for which the tractor can run daily is 8 hours.

Thus, the number of days taken by the tractor to plant the field = 85.33/8 = 10.66625, or 11 days.

Thus, the minimum number of days taken by the tractor when working 8 hours a day is 11 days.

Learn more about unit conversions at

https://brainly.com/question/28000115

#SPJ2

I GIVE BRAINLIESTY FOR CORRECT

Answers

Answer:

Ali is 72%

Zain is 64%

Ahmed scored 73%

So Ahmed Scored more

Step-by-step explanation:

Answer:

Ahmed

Step-by-step explanation:

Ali scored 18 out of 25. 18/25 = 0.72. 0.72 as a percentage is 72%

Same with Zain, but he he scored like around a 64. So the highest one would be Ahmed.

The distance between the points P(1,3) and Q(x,7) is 5 units. Find the possible values of x.​

Answers

Answer:

x = - 2 , x = 4

Step-by-step explanation:

Calculate the distance PQ using the distance formula and equate to 5

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P (1, 3) and (x₂, y₂ ) = Q (x, 7 )

PQ = [tex]\sqrt{(x-1)^2+(7-3)^2}[/tex] = [tex]\sqrt{(x-1)^2+4^2}[/tex] = [tex]\sqrt{(x-1)^2+16}[/tex] , then

[tex]\sqrt{(x-1)^2+16}[/tex] = 5 ( square both sides )

(x - 1)² + 16 = 25 ( subtract 16 from both sides )

(x - 1)² = 9 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( add 1 to both sides )

x = 1 ± 3

Then

x = 1 - 3 = - 2 , or

x = 1 + 3 = 4

a theater chages $8 for an adult ticket and $6 for a kids ticket a total of 255 ticket were sold what state would be best to save this problem

Answers

Answer:

8a + 6c = 1850

a + c = 255

Step-by-step explanation:

Jamar earned $2,500 from his summer job at the grocery store. This is $350 more than twice what his friend Todd earned. How much did Todd earn from his summer job?

Answers

Answer:

Todd earns $1075

Step-by-step explanation:

First, we do 2500 - 350

2150

Second, we divide by 2

2150/2 = 1075

The end Pls give me brainliest and like

super easy questions, lots of points

Answers

Angle b = 120
x+25+2x+50 = 180
3x+75= 180
3x= 105
X= 35
Because angle in above, x is 35, we can plus it in to find the value. The angle equals
35+25
Angle ABY = 60.
Angle B is supplementary to that angle so it would equal 120 degrees
180-60= 120.

Angle E is congruent to B therefore it would also be 120 degrees.

can someone help me with this problem pleaseeee :(

Answers

Answer:

2/7

Step-by-step explanation:

6 large fish and 8 small fish (half of the them are red = 4)

total fish 6 + 8 = 14 fishes

probability that one fish is one small and red fish is

there are 4 small and red fish

= 4c1 / 14c1

= (4! / (1! (4 - 1)! )  /  (14! / (1! (14-1)! )

= 4/14

= 2/7

Whitch inequality is equivalent to 5x+1 > 6x

Answers

Answer:

X < 1

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

6x<5x+1

2(3x)<2(2.5x)+1

5x+1>3x*2

x<1

Is there any specific choices?

Expand and simplify (x-4)(x-5)

Answers

Answer:

Step-by-step explanation:

2

9

+

2

0

Answer:

x²-9x+20

Step-by-step explanation:

(x±a)(x±b) = x²+Sx+P

[S = a+b

P = ab]

so (x-4)(x-5) = x²-9x+20

Rewrite the equation below so that it does not have fractions.

3/4x-5=3/8

Do not use decimals in your answer.

Answers

Answer:

x=  

6

43

 

Step-by-step explanation:

pasos  

4

3

x−5=  

8

3

Agrega 5 a ambos lados.

4

3

x=  

8

3

+5

Convertir 5 a la fracción  

8

40

.

4

3

x=  

8

3

+  

8

40

 

Como  

8

3

 y  

8

40

 tienen el mismo denominador, sume sus numeradores para sumarlos.

4

3

x=  

8

3+40

 

Suma 3 y 40 para obtener 43.

4

3

x=  

8

43

 

Multiplica los dos lados por  

3

4

, el recíproco de  

4

3

.

x=  

8

43

×(  

3

4

)

Multiplica  

8

43

 por  

3

4

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

x=  

8×3

43×4

 

Realiza las multiplicaciones en la fracción  

8×3

43×4

.

x=  

24

172

 

Reduzca la fracción  

24

172

 a su mínima expresión extrayendo y anulando 4.

x=  

6

43

 

6x=43 should be the answer

PLS HELP WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLS HELP ASAP! AND ANSWER ALL 5:

Answers

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1) quotient of 32 and 4 is 32/4

8 more than means + 8

so 32÷4 + 8

2) quotient of 12 and 6 is 12/6

8 more than means + 8

so 12÷6 + 8

3) 7 * 4 + 3

here multiplication gets preference

so it is (7*4) + 3

3 more than the product of 7 and 4

4) 35 ÷ (12 - 5)

here parentheses gets preference

so it can be called as

35 divided by the difference of 12 and 5

or the quotient of 35 and the difference of 12 and 5

5) fill the boxes as below

16 divided by 4 = 16 ÷ 4

16 - 4

16 * 4

16 + 4

16 ÷ 4

16 * 4

16 + 4

16 - 4

Enter the equation of the line in slope-intercept form.
Slope is -3, and (4,3) is on the line.
The equation of the line is y =

Answers

The slope intercept formula y= mx+b .

y= mx+b

We  already know the slope which is -3 and plugin 4 for x and 3 for y. Here we are trying to find the y-intercept which is b.  

3=  -3(4)+b

3=  -12+b

+12        +12

  15        =      b

Here  is how it is written in slope- intercept form:

y= -3x+15

Evaluate the expression when =a−3 and =b4 . 4 b - a

Answers

Step-by-step explanation:

4(4-(-3))

bodmas

4(4+3)

16+3 =19

A new energy drink advertises 140 calories for 8 ounces. How many calories are in 20 ounces of the drink?

There are

calories in the 20 ounce drink.

Answers

Answer:

350

Step-by-step explanation:

in every 140 calories there is 8 ounces

what about in 20 ounce of drink

140 calories ___8 ounce

? 20 ounce

140×20 =2800÷8=350

Cho hai tập hợp A = {0,1,4,7,8,9}, B = {1,2,3,4,6,7,8}.Tập hợp B\A bằng:

A. {2,3,6} B. {0,8}

C. {1,4,7,9} D. {1,3,7,9}

Answers

Đáp án

A. {2,3,6}

Lời giải:

B\A là tập hợp các phần tử B có mà A không có. => B\A = {2,3,6}

Answer:

.

Step-by-step explanation:

2. Which is the BEST definition of a line's x-intercept?

The x-intercept of a line is where the line crosses the y-axis.

The x-intercept of a line is where the line crosses the vertical axis.

The x-intercept of a line is where the line crosses the horizontal axis.

The x-intercept of a line is where the line crosses the origin.

Answers

Answer: The best definition is the third option. Hope this helps! Brainliest?

Here is a list of numbers.
17
18
19
20
21
22
23
24
a) From the numbers in the list, write down a number that is a factor of 20
b) From the numbers in the list, write down a number that is a multiple of
both 3 and 7
c) Write down all the prime numbers from the list.

Answers

Answer:

a) 20 b) 21 c)17,19 23

Step-by-step explanation:

solve the inequality 28>6x-2​

Answers

Answer:

x < 5

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  30 - 6x  =   -6 • (x - 5)  

Equation at the end of step

1

:

STEP

2

:

2.1    Divide both sides by  -6  

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2      Add  5  to both sides

            x < 5

Please help me with this I have no idea how to do it, it is past due but I’ll still get credit and my teacher won’t help since it was due Thursday.

Answers

Using Desmos and plotting the points coordinates with x,y the answer would be closely B

can someone please help ​

Answers

The answer is just half of the first fraction which is 3/2

Answer:

3/5

decimal from: 1.5

Step-by-step explanation:

HELP WILL MARK BRAINLIEST

5x ^4 y^7 / x^7 y^5


please show steps and btw ^# is the exponents and there are no spaces, it is a division question

Answers

Answer:

Step-by-step explanation:

there yw lolll

PLZZ HELP ME WORTH 35 POINTS

Answers

Answer:

3.2

Step-by-step explanation:

8/100×40=3.2. This is how to find the sales tax.

Other Questions
Who amongst the following develops or hones technical skill in a company or industry?8 letter word Question 6: 17 ptsIdentify the parent function for the function g(x) = x2 - 4 based on its function rule.Then graph g and identify the transformation of the parent function that itrepresents.linear; translation up 4 unitsquadratic; translation up 4 unitsquadratic; translation down 4 unitsOlinear; translation down 4 units Please help rn!!!!!!!! If the base sequence of template strand reads GCCATTAC, what is the base sequence of the mRNA 17. Which rights are explicitly stated in the Bill of Rights? Select all that apply. (there are 3 answers)A. right to trial by juryB. right to equal representation based upon populationC. right to bear armsD. right to privacyE. right to freedom of religionF. right to vote at age 18 no link or bot answer the question A GIRL WAIKS 10M NORTH,15M EAST AND THEN FINALLY 20MSOUTH FIND HER DISPLACEMENT The synthesis of giant molecules from components of repeating units is _____. Determine how the United States likely viewed World War as it progressed over the early years of fighting as the Americans remained on the sideline. win 10000 ponitswho is donald trups wife baking recipe requires an oven of 380 F. What is the temperature in degree Celsius? With solutions please Please help me with this Steps for 3m+ 6 - 2m + -22 The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,834 and Lantana High school raised $4132. about how much more do they need to raise? Choose the best estimate. 1. 500 2. 2,0003. 30004. they already raised enough money. let me tell you what i mean , change into passive voice Podemos saber qu habilidades tienen los robots actuales con fines industriales, mdicos o militares Can a country have a middle level of development? Explain how you can get HIV through infected blood, semen and vaginal fluids. people who are good with geometry please help: What is the predominant vegetation zone in the northern part of Africa around the Tropic of Cancer?