How would you limit the domain to
make this function one to one?
f(x) = (x + 3)^2

How Would You Limit The Domain Tomake This Function One To One?f(x) = (x + 3)^2

Answers

Answer 1

Answer:

Domain would be x -3.

So enter -3.

Step-by-step explanation:

This is a parabola with line of symmetry x = -3.

When x has values like  say -4 and -2,  f(x)  will have a value of 1 making the function many to one.

So,  to make it one to one, x would have to be equal or greater than -3.

Answer 2

A function assigns values. The limit of the domain to make this function one to one is x≥3.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.

Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.

Hence, the limit of the domain to make this function one to one is x≥3.

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How Would You Limit The Domain Tomake This Function One To One?f(x) = (x + 3)^2

Related Questions

PLEASE HELP ME WITH MATH (also please tell me how you got the answer so I understand)

Answers

Answer:

1st=3x+9, 2nd=8x, 3rd=4x+3y, 4th=neither, 5th=neither, 6th=4x+3y, 7th=3x+9, 8th=8x.

Step-by-step explanation:

for the 1st one cancel out the y's, 3x+9. for the 2nd one: 2x-1x+7x, (2-1+7)x, 8x. for the 3rd one: 2x+2y+2x+y, 4x+2y+y, 4x+3y. for the 4th one: 7x+x+0-y, 8x-y. for the 5th one: 2x+2y+2x, 4x+2y. for the 6th one: 4x+4y-y, 4x+3y. for the 7th one: 2x+6+x+3, 3x+6+3, 3x+9. for the 8th one: 5(2x)-2x, 5 * 2x-2x, 10x-2x, 8x.

Answer:

The answers would be :

first table (equivalent to 8x ) = 2x-x+7x , 7x+x+0×y , 5(2x)-2x

second one (equivalent to 4x+3y) = 2x+2y+2x+y , 4x+4y-y

third one = every expression left but 2x+2y+2x .

you have to calculate them ! for example look at the first one ----> y+3x-y+9 is equivalent to 3x+9 'cause y-y = 0 ,so 3x +9 will be the left expression and you can't calculate it because the both left items in expression are not from the same type , one of them has a x but the other one doesn't have .

or for example the second one is 2x-x+7x and you know that -x can be written as -1x ,so it becomes like 2x+-1x+7x = 8x .

in the above example we could calculate numbers 'cause all of them have the same variable .

hope it was kinda helpful , sorry for bad english :D

ask me if you have further questions .

The weather in Montana
was - 1° F one night and
12° F the next night. How
much warmer was the
temperature the second
night?

Answers

Answer:

13 degrees warmer

Step-by-step explanation:

Answer:

13 degrees Fahrenheit.

Step-by-step explanation:

The temperature started at -1 then raises to 12.

So, it goes -1,0,1,2,3,4,5,6,7,8,9,10,11,12, so it increases by 13 degrees Fahrenheit.

Guided Practice


Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.

y – 7y3 + 15y8


A.
15y8 – 7y3 + y; third degree trinomial


B.
y – 7y3 + 15y8; eighth degree trinomial


C.
15y8 – 7y3 + y; eighth degree trinomial

Answers

Answer: y( 1 - 7y2 + 15y7)

Step-by-step explanation:Just put () around the 1 threw 15 and put the y out  of the ()

Answer:

C.

15y8 – 7y3 + y; eighth degree trinomial

Step-by-step explanation:

To write the polynomial in standard from, the degrees of the monomials need to decrease from left to right. Reorder the monomials to get 15y8 – 7y3 + y.

The polynomial has three terms, which makes it a trinomial. The monomial with the greatest exponent is 15y8, an eighth degree term. This makes the expression an eighth degree trinomial.

suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000 ​

Answers

Answer:

$19200

Step-by-step explanation:

20,000*0.96=19200

i need help ASAP please

Answers

Answer:

umm so i belive you will mulltiply all of thoes together

Step-by-step explanation:

chicken nuggies are good :0

Answer:

number 3

Step-by-step explanation:

p represents amount of tickets sold at the pre-sale and d represents the amount of tickets sold at the door. If you add p + d, that equals the total amount of tickets sold which is 345 tickets.

So:

p + d = 345

Pre-sale tickets (p) cost $7 while tickets at the door (d) cost $10, and the total amount of money mad is $2550.

So:

7p + 10d = 2550

Answer should be the equations in number 3.

Please help me on this question!! If you get the question correct you will get brainleist!!! Tyyy ^^

Answers

Answer:

Area

Step-by-step explanation:

Helpppp pleaseeee ill give brainliest answer if u knowww helppp

Answers

Answer:

There is a 20% chance you draw an orange candy.

Step-by-step explanation:

4+1+2+3=10

pink=4/10

blue=1/10

orange=2/10

white=3/10

There is a 20% chance you draw an orange candy.

Answer:

Step-by-step explanation:

P(O)=2/(4+1+2+3)

P(O)=2/10

P(O)=1/5

P(O)=0.2 (as a decimal)

11/18 - x/18 = 1/18

Find the number for X, but it has to get 1/18​

Answers

Answer:

10/18

Step-by-step explanation:

11/18 - 10/18 = 1/18

Which store has the larger median value?

Store A

- Store B

20

80

30 40 50 60 70

Number of Team Wristbands Sold Daily

Store A

Store B

They have the same median

There is no median

Answers

The store with the larger numbers

which container holds more detergent? Justify your answer.

Answers

Answer:

soapy suds

Step-by-step explanation:

PLEASE HELP QUICK I HAVE 10 MINUTES

Answers

Answer:

56.58j = c

Step-by-step explanation:

c = cost

The cost of tuition at a local college is $10,000 and increases 4% each year. What is the cost of tuition after 5 years?

Answers

Answer:

12000 I think so. I might be wrong

Answer:

$52000

Step-by-step explanation:

10,400 × 5 = 52000

Convert 104ten to a binary numeral

A. 1101000 B. 1010100

C. 1101100 D. 1011010

Answers

Answer:

The answer is A. 1101000

Step-by-step explanation:

Step 1) Divide 104 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 104 as a binary.

Here we will show our work so you can follow along:

104 / 2 = 52 with 0 remainder

52 / 2 = 26 with 0 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 104 converted to binary is therefore:

A. 1101000

I copied and pasted the explanation part because the way I solve it is a bit confusing to some people so, I hope this information helps.

what is ratio 7:4 into 350​

Answers

Answer:

200

Step-by-step explanation:

To find the answer, first we can divide 350 by 7 to get 50, and then multiply that by 4 to get 200. Hope this helps.

Olivia has a certain number of pieces of candy that she wants to share evenly with her siblings. She has 2 sisters and a brother. Write an expression that represents the amount of candy each sibling will get.

Answers

Probally not sorry hhaahhaa

Answer:

So say she has 20 pieces of candy if her sibilings are young the she take ten and split the 10 into two 5

Step-by-step explanation:

Leah is thinking of a number. Twenty less than one third of
the number is 72. What is Leah's number?

Answers

Answer:

Step-by-step explanation:

⅓x - 20 = 72

⅓x = 92

x = 276

HELPPPP ASAP PLSSSSS!!!!!!

Answers

Answer:

5.25 + 5.25 = 10.5

8.5 - 3.25 = 5.25

so

5.25 & 8.5 are the answers consequently

the surface area of a cube is 600 cm. what is its volume? 200 1000 600 800​

Answers

Answer:

1000 cm^3

Step-by-step explanation:

First, Find the side length of the cube. The surface area is all the area on the surface of a 3-dimensional object. Since a square has 6 congruent faces the formula for surface area is 6s^2 where s is the side length. Since we know the surface area we can solve for the side length.

600=6s^2- DIvide by 6

100=s^2- Take the square root of both sides.

10=s

The volume of a cube is s^3.

10^3=V

1000=V

Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.

Answers

The answer would be 21 good luck hope you get it correct

Answer:

It would take them  [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

Step-by-step explanation:

Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.

Plug in 10 and 11:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]

Find the common denominator, then add the fractions together:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

This statement shows the ______ property.

Answers

Answer:

besti you didnt put the statement

If you graphed this system, what would the solution be?

Answers

Answer:

(6, 2 )

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{2}{3}[/tex] x - 2 → (1)

y = 2 → (2)

Substitute y = [tex]\frac{2}{3}[/tex] x - 2 into (2)

[tex]\frac{2}{3}[/tex] x - 2 = 2 ( add 2 to both sides )

[tex]\frac{2}{3}[/tex] x = 4 ( multiply both sides by 3 )

2x = 12 ( divide both sides by 2 )

x = 6

The solution is (6, 2 )

hey!!! please answer this asap it is an emergency!!!

whoever answers first and gets it right will be marked brainliest!!!

Answers

Answer:

my bad yall, I seen the comments!! it's 12

Step-by-step explanation:

I'm so sorry!!

Answer:

Okay, i'm not being jugy but it it is super easy... it is 12 only because 1x12=12, 2x12=24, 3x12=36, and 4x12=48!!

it is most definately 12 DON'T WORRY

Whats the answer for number 13? Thank you!

Answers

Answer:

B) 16

Step-by-step explanation:

If you look at the graph and go to 4 hours, you can see a dot at 14. So, in this case the nearest answer choice to 14 is 16, as it would be your best estimate if you follow the imaginary line you can draw in the middle of all that points.

i need help with this​

Answers

Answer:

Its 40.9!

Step-by-step explanation:

The opposite sides of angles are most of the time congruent, or the same!

Hope this helps and don't forget to follow!

Find the quotient.

4.58 ÷ 0.5

Answers

Answer:

9.16

Step-by-step explanation:

4.58/.5

Answer:

9.16

Step-by-step explanation:

4.58

--------

0.5

45.8

--------

5

5 into 45 is 9

9 x 5 = 45

45-45= 0

5 into 8 is 1

1 x 5 = 8

8 - 5 = 3

Bring down the zero: 30

5 into 30 is 6

5 x 6 = 30

30 - 30 = 0

the solution for long division of 4.58

                                                    -------- = 9.16

                                                       5

Hope this helps

What is the solution to this inequality -7t + 3> - 46?

Answers

-7t+3>-46

Subtract 3 on both sides to cancel it out.

-7t+3>-46

    -3  -3

-7t>-49

Now divide -7 on both sides.

-7t>-49

/-7  /-7

t>7

This means the answer, or t, can be anything above 7.

---

hope it helps

[tex]-7t+3>-46[/tex]

      [tex]-3[/tex]      [tex]-3[/tex]   

___________   solve -46 - 3, which is -49.

[tex]-7t>-49[/tex]      

___    ___          divide -7 on both sides, -7s should cancel out on the left.

[tex]-7[/tex]      [tex]-7[/tex]

[tex]t>7[/tex], is the final answer

find the value lamda...​

Answers

Lands ofcbnnjjhhh and you have future in be there here for f the most serious

A cylinder has a base diameter of 12in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

Answers

Answer:

1922.7 cubic inches

Step-by-step explanation:

The volume of a cylinder can be found with this formula:

V=πr^2h

The radius, r, is half the diameter.

So, 12/2=6

r=6 inches

Then, just plug the numbers in.

V=π(6)^2(17)

V=1922.65

Rounding to the nearest tenth:

V=1922.7 cubic inches

The volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.

Base diameter of the cylinder = 12 inches

So, the base radius of the cylinder =12/2 =6 inches.

Height of the cylinder = 17 inches

What is the volume of a cylinder?

The volume of a cylinder is given by [tex]\pi r^{2} h[/tex] where r is the radius and h is the height.

So, the volume of the cylinder with a radius of 6 inches and height of 17 inches = [tex]\pi 6^{2} (17)[/tex]

The volume of the cylinder with a radius of 6 inches and height of 17 inches=1922.65 cubic inches.

Thus, the volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.

To get more about cylinders visit:

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Kiana walks from her house to Jo's house. She first walks west then walks south. How many blocks west does Kiana walk? How many south?

Answers

Answer:

She goes from 4 to -4 west which is 8 blocks west

Then she goes south from +2 to -2 on the y axis which is 4 blocks south

Perry traveled at an average speed of 55 miles per hour for 5.5 hours and then traveled at an average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that Perry traveled during this time?

Answers

Answer:

465 miles

Step-by-step explanation:

From the question,

S₁ = d₁/t₁............................... Equation 1

Where S₁ = Speed travels by Perry for the first journey, d₁= First distance traveled by Perry, t₁ = First time taken.

make d₁ the subject of the equation

d₁ = S₁t₁................... Equation 2

Given; S₁ = 55 miles per hour, t₁ = 5.5 hour

Substitute these values into equation 2

d₁ = 55×5.5

d₁ = 302.5 miles.

Also,

d₂ = s₂t₂.......................... Equation 2

Given: s₂ = 65 miles per hour, t₂ = 2.5 hours.

d₂ = 65×2.5

d₂ = 162.5 miles

Hence,

Total distance = d₁+d₂

Total distance = 302.5+162.5

Total disstance = 465 miles

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