What is the domain and range for the following function? f(x)=|x-2|+3

What Is The Domain And Range For The Following Function? F(x)=|x-2|+3

Answers

Answer 1

Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).

_______

Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).


Related Questions

An archer is shooting at targets. The height of the arrow is 5 feet above the ground. Due to safety rules, the archer much aim the arrow parallel to the ground.

How long does it take for the arrow to hit a target that is 3 feet above the ground? Round your answer to the nearest hundredth.

Answers

Answer:

The time it takes to hit a target that is 3 feet above ground is approximately 0.35 seconds

Step-by-step explanation:

The given parameters are;

The height of the arrow above the ground = 5 ft.

The height of the target above the ground = 3 ft.

The time it takes the arrow to fall to 3 ft. from 5 ft. above the ground is given by the free fall formula, since the arrow has no vertical velocity component

The equation for free fall is h = 1/2·g·t²

Where;

h = The height of fall = 5 - 3 = 2 feet

g = The acceleration due to gravity = 32.17405 ft/s²

t = How long it takes to fall (to its target)

∴ 2 = 1/2 × 32.17405 × t²

t² = 2/(1/2 × 32.17405) ≈ 0.1243

t = √0.1243 ≈ 0.353

t = 0.35 seconds, to the nearest hundredth

Therefore, the time it takes to fall 2 ft to hit a target that is 3 feet above ground = 0.35 seconds.

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

The height of a parabola is calculated as:

[tex]\mathbf{h = \frac{1}{2}gt^2}[/tex]

Where:

[tex]\mathbf{h =5 - 3 = 2}[/tex] --- the difference between the height of the arrow and the height of the target.

[tex]\mathbf{g = 32.2 fts^{-2}}[/tex] --- acceleration due to gravity

So, we have:

[tex]\mathbf{2 = \frac{1}{2} \times 32.2 \times t^2}[/tex]

Multiply both sides by 2

[tex]\mathbf{4 = 32.2 \times t^2}[/tex]

Divide both sides by 32.2

[tex]\mathbf{0.124 = t^2}[/tex]

Take square roots

[tex]\mathbf{0.35 = t}[/tex]

Rewrite as:

[tex]\mathbf{t = 0.35s}[/tex]

Hence, the time to hit the target is 0.35 seconds

Read more about rates and time at:

https://brainly.com/question/18798899

50 POINTS!!!
Write two linear functions, f(x) and g(x). For example, f(x) = 3x – 7 and g(x) = –2x + 5. Then see whether f(x) – (–g(x)) is equivalent to f(x)+ g(x). Hint: To find –g(x), just change the signs of all the terms in g(x). Discuss whether you think your results would apply to every function.

This can be any equation that would work for this, there is no specific answer.

Answers

9514 1404 393

Answer:

f(x) = xg(x) = -2x+1f(x) -(-g(x)) = -x+1f(x) +g(x) = -x+1f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.

Answer:

f(x) = x

g(x) = -2x+1

f(x) -(-g(x)) = -x+1

f(x) +g(x) = -x+1

f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

 f(x) = x

 g(x) = -2x+1

Then the reflected function -g(x) is ...

 -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

 f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

 f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are a property of addition, so do not depend on the nature of f(x) or g(x). They will hold for every function.

What quadrant is point A located in?
A. Quadrant IV
B. Quadrant III
C. Quadrant I
D. Quadrant II
Someone pls help me ASAP

Answers

D, Quadrant II, hope this helps :)

A really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. What is the speed of the armadillo?
A. 2.0 m/s
B. 10 seconds
c. 10 meters
D. 200 m/s

Answers

Answer:

A

Step-by-step explanation:

Speed= Distance/time

20m/10s=2 m/s

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!

Answers

Answer:

c 78

Step-by-step explanation:

Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit

Answers

Answer:

Jared transfers $55 to his checking account from his savings account.

Jared spends $55 from his checking account to purchase a college Algebra textbook

Jared withdraws $55 from his checking account

Hope this helps!

The formula for the perimeter of a rectangle is P=2(l+w). Solve for l.

Answers

Answer:

l = [tex]\frac{P-2w}{2}[/tex]

Step-by-step explanation:

Given

P = 2(l + w) ← distribute right side

P = 2l + 2w ( subtract 2w from both sides )

P - 2w = 2l ( isolate l by dividing both sides by 2 )

[tex]\frac{P-2w}{2}[/tex] = l

Answer:

l=‒2w+p/2

Step-by-step explanation:

p=2(L+w)

p=2L+2w(add ‒2w on both sides)

‒2w+p=2L+2w-2w

‒2w+p=2L

‒2w+p/2=2L/2

L=‒2w+p/2

i hope it helps you.

Viserys deposited $10000 in to an account that pays a simple interest rate of 5%. How long will it take for his money to double ?

Answers

Answer:

Somebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Verse 2]

It's a cool place, and they say it gets colder

You're bundled up now, wait 'til you get older

But the meteor men beg to differ

Judging by the hole in the satellite picture

The ice we skate is getting pretty thin

The water's getting warm so you might as well swim

My world's on fire, how 'bout yours?

That's the way I like it and I'll never get bored

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

All that glitters is gold

Only shooting stars break the mold

[Interlude]

Go for the moon

Go for the moon

Go for the moon

Go for the moon

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars

[Verse 3]

Somebody once asked, “could I spare some change for gas?

I need to get myself away from this place"

I said, "Yep, what a concept

I could use a little fuel myself and we could all use a little change"

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go (Go!)

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Outro]

And all that glitters is gold

Only shooting stars break the mold

Step-by-step explanation:

Answer:

4,000%

Step-by-step explanation:

You can solve this problem by using a proportion.

So to start the proportion draw one line then put an equal sign and draw another line.

Then start filling out the proprtion. in proprtions  your is and of can make it easier to solve the problem

is $10,000_________= ______________

of 5%                                     100%    

First multiply $10,000 dollars by 100%, you get 200,000%

Then divide 200,000% by 5% and you get 4,000%

help me plzzzzzzzzzzzzzzzz​

Answers

Here is the picture, with explanations. Hope this helps you to understand.

Answer:

796p

Step-by-step explanation:

If three cartens come in a sigle packege you see how many cartons you need so that would 26/3 wich is some what 8, so you do 90*8 to see how much you'ev spent so far. Now you know that you have 24 cartons so far because you multiply 3 and 8. Lastly, you just add 76 because you need two more cartons. :)

 

Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.

Answers

Answer:

In expanded form:

2^3 = 2 * 2 * 2 = 8

In standard form :

2^3

Step-by-step explanation:

Given the numbers in range (0 to 10)

Write an exponential expression :

Choosing from the range for the Base and the exponent

Base = 2

Exponent = 3

where ; 2 = base. ; 3 = exponent

In expanded form:

2^3 = 2 * 2 * 2 = 8

In standard form :

2^3

Find the total surface area of this cuboid.
5 cm
4 cm
6 cm

Answers

Answer:

e total surface area (TSA) of a cuboid is the sum of the areas of its 6 faces, which is ... 1: Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm. ... Example 2: Find the surface area of a cuboid of dimensions 4.8 cm, 3.4 cm ... Example 4: The length, breadth and height of a cuboid are 16cm, 14cm and ...

Step-by-step explanation:

Where's the cuboid? You left it out.

In any case, use the following formula:

SA = 2(front + side + top)

Duncan had 3.8 gallons of paint and used 1.89 gallons for a poster. How much paint did Duncan have left after painting the posture.

Answers

1.91 gallons left
3.8-1.89= 1.91 gallons

Answer:

1.91

Step-by-step explanation:

Duncan had 3.8 and used 1.89 obviously we can't subtract right now so we have to add a 0 to 3.8 so it would 3.80 - 1.89 = 1.91

Find the measure of the missing angle
m<1=​

Answers

Answer:

i just want points to upload a post sry

Step-by-step explanation:

Isabel offers to buy a team photo for 8 of her teammates,
but 2 of them don't want one.
If a team photo costs $5, how much will Isabel spend on her teammates?
Choose the correct expression and solution to this problem.

Answers

Answer:

30

Step-by-step explanation:

because 8-2= 6

now multiply 6*5 and you get 30

Which diagrams is not correct

Answers

Answer:

A

Step-by-step explanation:

Please help
Use the table below to answer this question:

x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.

Answers

Answer:

;)

Step-by-step explanation:

ฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅ

Please please help meee

Answers

Answer:

<X= 111 , <Y= 69, <Z 111

Step-by-step explanation:

X and Z are corresponding

solve for Y

180-111= 69

Bruce bought two books. One book costs $4.00 more than three times the other. Together, the two books cost him $72.

Answers

Step-by-step explanation:

The variables can be represented as x and y for the two books.

y=3x+4

x+y=72

Use substitution or elimination to solve the problem. I would personally go with substitution, but its all personal preference.

"Sonia had band practice 2 _1/3 hours on Saturday and 1_3/4 hours on Monday. How many total
hours did she practice those two days? *

Answers

Answer:

3_5/6 hours

Step-by-step explanation:

2_ 1/3 = 2_ 4/12

1_3/4 = 1_6/12

2_4/12 + 1_6/12 = 3_10/12

3_10/12 = 3_5/6

What random question should I do for 100 technically 50 points? ​

Answers

Answer:

you should ask us what color your pillow is

Step-by-step explanation:

If Kynlee can walk 3/5 mile in 1/3 of a day, how far can she walk in 1 day.

Answers

Answer:

1 and 4/5 mile or 1.8 miles

Step-by-step explanation:

You would multiply 3/5 by 3 because in 1/3 day she can walk 3/5 miles, you want to find out how much she can walk in a day! Hope this helps! If you liked this answer, a brainliest would much be appreciated!

Answer:

9/5 i believe ( or 1 4/5 )

Step-by-step explanation:

multiply 3/5 by 3, since 1/3 is only a part of the day

( im sorry if this is wrong :( )

what is 0.72 equivalent to?​

Answers

Answer:

18/25

Step-by-step explanation:

Answer:

72%, or, 18/25

Step-by-step explanation:

I just converted 0.72 into a percentage and a fraction. I hope this helps! :P

what is the value of r in the equation r+6=14?

Answers

Answer:

r = 8

Step-by-step explanation:

Given

r + 6 = 14 ( subtract 6 from both sides )

r = 8

You subtract 6 from 14 and you’ll get 8 so r=8

what is the missing factor in the equation

Answers

y^3/4x

Step-by-step explanation:

here,

6x^2/5y *(y^3/4x)

3xy^2/10

Layla read 1 book in 4 months. What was her rate of reading, in books per month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

1/4 books per month.

Step-by-step explanation:

1 book in 4 months means you have to do 1 divided by 4 which equals .25. After converting to a fraction you get 1/4.

the equation 3x^2-6x=8 is rewritten in a form of 3(x-p)^2+q=0.

Answers

Answer:

[tex]3(x - 1)^2 - 11= 0[/tex]

Step-by-step explanation:

Given

[tex]3x^2 - 6x = 8[/tex]

Required

Rewrite in form of [tex]3(x - p)^2 + q = 0[/tex]

[tex]3x^2 - 6x = 8[/tex]

Subtract 8 from both sides

[tex]3x^2 - 6x - 8 = 8 - 8[/tex]

[tex]3x^2 - 6x - 8 = 0[/tex]

Express -8 as 3 - 11;

So, we have:

[tex]3x^2 - 6x + 3 - 11= 0[/tex]

Expand [tex]3x^2 - 6x + 3[/tex]

[tex]3(x^2 - 2x + 1) - 11= 0[/tex]

Factorize the expression in the bracket;

[tex]3(x^2 - x -x + 1) - 11= 0[/tex]

[tex]3(x(x - 1) -1(x - 1)) - 11= 0[/tex]

[tex]3((x - 1)^2) - 11= 0[/tex]

[tex]3(x - 1)^2 - 11= 0[/tex]

By comparison: [tex]3(x - p)^2 + q = 0[/tex]

[tex]p= 1[/tex]

[tex]q = -11[/tex]

PLS help with the question in the picture!

Answers

Answer:

e then m 4

Step-by-step explanation:

cause thats how it goes


At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end of the baking session, there was 0.98 kilogram
of flour in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary?

The answer is not 32 or 43.4.

Answers

Answer:

56.6%

Step-by-step explanation:

To calculate percent decrease, you first subtract the original number with the final number.

2.26 - 0.98 = 1.28

Then, you divide your answer by the original number.

1.28/2.26 = 0.56637168141

Finally, you multiply your answer by 100 and round as necessary.

0.56637168141 x 100 = 56.637168141

1. Choose the graph that represents the equation y = -x] - 1.

Answers

Answer:

x=−y−1

Step-by-step explanation:

y=−x−1

Step 1: Flip the equation.

−x−1=y

Step 2: Add 1 to both sides.

−x−1+1=y+1

−x=y+1

Step 3: Divide both sides by -1.

−x

−1

=

y+1

−1

x=−y−1

PLEASE ANSWER FAST
A principal spent $1560 total on "c" calculators for his school. Which
expressions shows the cost of ONE calculator.
A. c+ 1560 B. 1560c C. 1560- c D. 1560/c

Answers

Answer:

1560/c

Step-by-step explanation:

if you divide 1560 by c the value you get will be the cost of one calculator.

Answer:

The answer is D. 1560/c

Step-by-step explanation:  

If you divide 1560 by c you will get the cost of one calculator.

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