Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}

Answers

Answer 1

Answer:

The range of the function is [tex]R=\{17, 5, 1\}[/tex].

Step-by-step explanation:

Let [tex]f(x) = -x^{3}+x^{2}+5[/tex]. From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:

x = -2

[tex]f(-2) = -(-2)^{3}+(-2)^{2}+5[/tex]

[tex]f(-2) = 8+4+5[/tex]

[tex]f(-2) = 17[/tex]

x = -1

[tex]f(-1) = -(-1)^{3}+(-1)^{2}+5[/tex]

[tex]f(-1) = 1-1+5[/tex]

[tex]f(-1) = 5[/tex]

x = 2

[tex]f(2) = -(2)^{3}+(2)^{2}+5[/tex]

[tex]f(2) = -8+4+5[/tex]

[tex]f(2) = 1[/tex]

The range of the function is [tex]R=\{17, 5, 1\}[/tex].


Related Questions

uhh so ders dis man and he fell one day on his butt, uhh so den he fell,,uhh another day....on his butt, how many times did he fall on his but?

Answers

Answer:

2 times

Step-by-step explanation:

Answer:

he did it 2 times

Step-by-step explanation:

because first, he fell on his but once the first day, and second the 2nd day.

what is /4 of 3/4 =
What is 1/4 of 3/4 =

Answers

Answer:

3/16

Step-by-step explanation:

1) multiply the fracton/percentage wanted from the entire thing

> 1/4×3/4=3/16

Answer: The answer to this basic math question with a given basic fraction expression is [tex]\frac{3}{16}.[/tex]

Step-by-step explanation: Mmmm, that was super extremely easy, so anyways, here is a basic step in order to evaluate the given basic fraction expression:

The word "Of" is the same as multiplication, so we replaced the word "Of" with a multiplication sign that looks in the new basic fraction equation form like this: [tex]\frac{1}{3}*\frac{3}{4} = ?.[/tex] For the fraction multiplication, let's multiply the numerators and then multiply the denominators in order to get [tex]\frac{3}{16}[/tex] that looks in the basic fraction equation form like this: [tex]\frac{1*3}{4*4}=\frac{3}{16}.[/tex] And therefore, your answer to this basic math question with a given basic fraction expression is [tex]\frac{3}{16}.[/tex]

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own basic math question with a given basic fraction expression, please mark me as Brainliest, take care, always be safe, and have a great rest of the holiday winter break, and a happy new year! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Edward solved the equation 4X + 1 = 5x +(-5)
Add 4 negative both sides
Add 5 negative to both side
=4
What’s was mistake

Answers

Answer:

He should have added 5 to each side instead of -5

Step-by-step explanation:

4X + 1 = 5x +(-5)

Subtract 4x from each side

4X-4x + 1 = 5x-4x +(-5)

Combine like terms

1 = x-5

Add 5 to each side  

He should add 5 to each side ( we need to add the opposite of (-5)) to undo the adding  of (-5)

1+5 = x-5+5

6 =x

Please help answer this I will make you brainlst

Answers

Answer:

Read the comments that is where i put the answer at + my work.

The square below represents one whole.
What percent is represented by the shaded area?

Answers

No. of total boxes=100

No. of total shaded boxes=85

percentage of the shaded area=85/100×100=85%


If it takes 930 kg of food to feed a pair
of elephants for 3 days, how much food
would you need to feed them for a week?

Answers

Answer:

2170

Step-by-step explanation:

930 divided be 3= 310

310 multiplied by 7=2170

Use encryption matrix A to encrypt the plain text message.
matrix 2

Encrypted message = matrix 3

e11 =
e12 =
e13 =

e21 =
e22 =
e23 =

Please help algebra is kicking my butt

Answers

Answer:

e11 = 5

e12 = 8

e13 = 4

e21 = 8

e22 = -7

e23 = 16

Step-by-step explanation:

ik this is really late but I hope this helps someone doing edge. have a nice day :)

I will give brainliest :)

1. Here is a hanger

a Wrire an equation to represent the hanger.

5. Solve the equation by reasoning about the
equation or the hanger.

Explain your reasoning.

Answers

2.2 x 5 = 11. Hope this helps!!

Answer:

2.2 x 5 = 11

Step-by-step explanation:

Why is 2(7^0)=2 correct?

Answers

Anything to the power of 0 is = 1, and 2x1=2

Each big square below represents one whole.
What percent is represented by the shaded area?
Stuck? Watch a video or use a hint
7 of 7

Answers

Answer:

119% i think

Step-by-step explanation:

there are two squares

one is completely filled so its 100% shaded

the other has 19 mini squares filled so it's 19%

add those and you get 119%

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?

A.
0.09

B.
0.11

C.
0.36

D.
0.44

Answers

In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36

Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

find the slope of each line​

Answers

I don’t think there is one

Which unit rate corresponded to the proportional relationship shown in the graph?​

Answers

Answer: the speed of worm graph is bigger which gives you more space to figure out the way of the speed

Step-by-step explanation:

the graph is a picture designed to express words, particularly the connection between two or more quantities. You can see the graph . A simple graph usually shows the relationship between two numbers or measurements in the form of a grid.

NEED HELP ASAP, VIEW THE PHOTO FOR THE QUESTION PLZ I NEED HELP

Answers

Answer:

x=0 is the solution

Step-by-step explanation:

Notice that the graph is that of a parabola with vertex at the point (0, 0).

When we solve for x in the equation:

- x^2 = 0

then we divide by -1 both sides an get: x^2 = 0/(-1) = 0

and finally use the square root property to find the answer and we get:

[tex]x=+/- \sqrt{0} = +/- 0 = 0[/tex]

Since +0 = - 0 (this is the null value), there is only one solution: x = 0.

PLS HELP ME !! ILL MARK BRAINLIST

Answers

Its C there are five times as many cows as goats
It’s c there are five times as many cow as goats

Find M<1 in the figure below. PQ and RS are parallel

Answers

Answer:

m∠1= 105°

Step-by-step explanation:

The m∠1 and 75° are supplementary angles that sum up to 180°.

The equation here would be: m∠1+75= 180.

Step 1- Subtract 75 to both sides of the equation.

m∠1+75= 180

        -75    -75

m∠1= 105

Hope this helps! :)

Answer:  The answer would be 105.

Step-by-step explanation:

If you look at the angle's corresponding angle, then you will see that it is right next to angle one. So the angle next to angle one is also 75 degrees because it is the same angle or the corresponding angle to the other one that is 75 degrees. So, together, angle one and the angle next to it should equal 180 degrees. So you subtract 180-75=105. And angle one equals 105.

There are 4 blue and 6 red marbles in a box. Two marbles are drawn at random without replacement. What is the probability having two blue marbles drawn?

Answers

Answer:

Probability having two blue marbles(Without replacement) = 2/15

Step-by-step explanation:

Given:

Number of blue marble = 4

Number of  marble = 6

Find:

Probability having two blue marbles(Without replacement)

Computation:

Probability of first marble = 4 / 10

Probability of second marble = 3 / 9

Probability having two blue marbles(Without replacement) = [4/10][3/9]

Probability having two blue marbles(Without replacement) = 2/15

Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.

Answers

Answer:

a.No, Common Bank will save Sharon more money.

Step-by-step explanation:

There are two banks i.e. first state bank and the common bank that should be compared in the table depend upon the prices of both the banks

On seeing it we get to know that the first state bank would charged a fee on a monthly basis i.e. $4 while on the other hand the common bank has no fee on the monthly basis

Also the unsufficient bonds are more cheaper in the common bank if we compared with the first state bank

Moreover, the $7 is charged in the first state bank and $3 charged in the common bank.

Therefore the common bank would become cheaper

Hence, the correct option is a.

Answer:

Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.

A 4-column table with 5 rows. Column 1 is labeled First State Bank with entries monthly fee, non-sufficient funds fee, second copy of statement, network A T M usage, non-sufficient funds protection from a First State Bank savings account. Column 2 is labeled Description with entries 4 dollars, 36 dollars, 7 dollars, 3 dollars each transaction, 4 dollars on each day that a transfer occurs to cover an overdraft. Column 3 is labeled Common Bank with entries monthly fee, non-sufficient funds, second copy of statement, network A T M usage, non-sufficient funds protection from a Common Bank savings account. Column 4 is labeled Description with entries 0 dollars, 24 dollars, 4 dollars, 2 dollars each transaction, not offered with this account.

Based on the tables of fees, above, if Sharon chooses First State Bank, will it save her money over choosing Common Bank?

a.   No, Common Bank will save Sharon more money. <<<---Correct b.   Yes, First State Bank will save Sharon money. c.   No, First State Bank and Common Bank would have the same costs for Sharon. d.   No, costs cannot be estimated in advance, so this information cannot be used.

Step-by-step explanation:

Edge 2021

Question 2 (10 points) (02.05 MC) Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points) Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points) Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer: From R:(c, d), draw line segment RA perpendicular to the x-axis. Let O denote the origin (0,0).

area ΔPQR = area trapezoid OPRA- area ΔQAR - area ΔOPQ

=

2

1

c(a+d) -

2

1

d(c−b)-

2

1

ab=

2

1

(ac+bd−ab).

If c area ΔPQR = area trapezoid OPRA + area Δ QAR - areaΔOPQ=

2

1

c(a+d)

2

1

d(b−c)−

2

1

ab=

2

1

(ac+bd−ab).

Step-by-step explanation: done

1
2
How did Buddhism change as it spread throughout Asia?
Buddhism became less focused on seeking enlightenment.
Buddhism combined with Hinduism to create a new religion.
Buddhism split into three groups based on the places where it spread.
Buddhism adopted Christian and Islamic teachings to reach a wider audience.

Answers

Answer:

Buddhism split into three groups based on the places where it spread.

Step-by-step explanation:

Answer:

Buddhism split into three groups based on the places where it spread.

Step-by-step explanation:

Since there are no exponents in this problem, the next step is
✔ (- 2)2.2
.
Simplify the previous step and you get
.
The final answer is

Answers

If the check mark is a square root the next step is -2 x 2.2

Anwers:

22    is the answer

Charlene and Gary want to make confetti. In order to get the right balance of ingredients for their tastes they bought 3 pounds of paper hearts at $2.46 per pound, 5 pounds of sparkling stars for $3.05 per pound, and 3 pounds of shiny coils for $2.33 per pound. Determine the cost per pound of the coffeti.

Answers

Answer:

0.712 cents per pound

Step-by-step explanation:

Since we are given the exact amount of each ingredient as well as the price for that amount then we simply need to calculate how much each pound of the confetti actually costs. We do this by adding together all of the pound of all of the ingredients and then adding together all of the costs. Lastly, we divide the cost by the total amount of pounds to find the cost per pound of the confetti like so...

3lbs. + 5lbs. + 3lbs. = 11 lbs.

$2.46 + $3.05 + $2.33 = $7.84

$7.84 / 11 lbs. = 0.712 cents per pound

Therefore, the cost per pound of the confetti is 0.712 cents per pound

I don't understand this can you help me pls?

Answers

Sure what is love I would love to help

Help please zearn is so hardddd

Answers

Answer:

1000-20

Step-by-step explanation:

If a car is traveling 75 miles per hour, how many feet will it travel in 10 seconds ?

Answers

The answwe is 1100 hope this helps

If 1 mile= 5280 feet, So If a car is traveling 75 miles per hour, then it is travelling 1100 feet in 10 seconds.

What is 1 mile in ____ feet?

1 mile= 5280 feet

A car is traveling 75 miles per hour, we need to find how many feet it travel in 10 sec.

1 hour = 60*60 = 3600 seconds

75 miles: 1 hour

75 miles: 3600 seconds

75/3600 miles: 3600/3600 seconds

1 second: 1/48 mile

1/48 miles = (1/48)*5280 = 110 feet

So you're going 110 ft per second. In other words, the car travels 110 feet in 1 second.

For 10 seconds 110*10=1100.

Therefore 1100 feet will car travel in 10 seconds.

To learn more on miles and feet click: https://brainly.com/question/2566034

#SPJ2

Convert 2 days into months. Round your answer to the nearest hundredth.

Answers

Answer:

0.0657534

Step-by-step explanation:

divide 2 by 30.417

Compare the proportional relationships. Which represents the greatest price per pound of walnuts

Answers

Answer:

B. Weight

Price

The price per pound of walnuts is the slope or unit rates of the graphs, lines and equations

The greatest price per pound of walnuts is $14.00

(a) Cost of 1.5 bags is $12.99

The unit rate is calculated as:

[tex]\mathbf{Rate = \frac{Cost}{Bags}}[/tex]

So, we have:

[tex]\mathbf{Rate = \frac{\$12.99}{1.5}}[/tex]

[tex]\mathbf{Rate = \$8.66}[/tex]

The price per pound of walnuts is $8.66

(b) The table

From the table, we have the following points

[tex]\mathbf{(x,y) =(0.2,2.80)\ (0.4, 5.60)}[/tex]

The unit rate is calculated as:

[tex]\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{Rate = \frac{5.60 - 2.80}{0.4 - 0.2}}[/tex]

[tex]\mathbf{Rate = 14}[/tex]

The price per pound of walnuts is $14.00

(c) The graph

From the table, we have the following points

[tex]\mathbf{(x,y) =(0,0)\ (1, 11)}[/tex]

The unit rate is calculated as:

[tex]\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{Rate = \frac{11 - 0}{1 - 0}}[/tex]

[tex]\mathbf{Rate = 11}[/tex]

The price per pound of walnuts is $11.00

By comparison, the greatest price per pound of walnuts is $14.00

Read more about rates at:

https://brainly.com/question/18065083

what is 2 5/8 equvilant to

Answers

Answer:

2.623

Step-by-step explanat

The town’s highway department marks a new road with reflective markers. The road is on a 6 3/4 miles stretch in length. How many markers would be needed if  the markers are spaced every  1/8 of a mile?​

Answers

Answer:

54 markers.  

Step-by-step explanation:

First take 6 3/4 which also equals .75 and 1/8 which also equals .125. Now divide 6.75 by 0.125 which equals 54.

You are buying a new bicycle. The table shows the prices of bicycles at a store. You are willing to pay the mean price with an absolute deviation
of at most $60.

Select which inequalities represent the prices you are willing to pay.

Bicycle prices:
$350 $450 $180 $200
$290 $325 $240 $445



x-60 S 310
| x + 60 < 310
1 x + 310 < 60
x < 250 or x > 370
X - 310 < 60
250 < x < 370


Answers

Answer:

250 < x < 370

Step-by-step explanation:

From the given bicycle prices, we first calculate the mean.

Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)

Mean = ⅛(2480)

Mean = $310

Next, is to determine the amount willing to pay using.

Amount = Mean ± Absolute Deviation

Amount = $310 ± $60

This can split as follows

Amount = $310 + $60 or Amount = $310 - $60

Amount = $370 or $250

Represent as an inequality, we have:

250 < x < 370

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