The function f is defined as follows for the domain given.
f(x) = 2–2x domain = (-1,0, 1, 2}
Write the range of f using set notation. Then graph f.

Answers

Answer 1

Answer:

The range of the function in ascending order is:

Range R = {-2, 0, 2, 4}

Step-by-step explanation:

Given the function

f(x) = 2-2x

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

Domain refers to all the possible sets of input values on the x-axis

As the domain of the function is given such as

Domain D = {-1, 0, 1, 2}

Determining the range

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

As the domain is

Domain D = {-1, 0, 1, 2}

FOR x = 1

substitute x = -1 in the function

f(x) = 2-2x

f(-1) = 2-2(-1) = 2+2=4

so

at x = -1, y = 4

FOR x = 0

substitute x = 0 in the function

f(x) = 2-2x

f(-1) = 2-2(0) = 2-0=2

so

at x = 0, y = 2

FOR x = 1

substitute x = 1 in the function

f(x) = 2-2x

f(-1) = 2-2(1) = 2-2=0

so

at x = 1, y = 0

FOR x = 2

substitute x = 2 in the function

f(x) = 2-2x

f(-1) = 2-2(2) = 2-4=-2

so

at x = 2, y = -2

Thus combining all the output or y values correspond to the given input values, we get the range of the function.

Thus, the range of the function in ascending order is:

Range R = {-2, 0, 2, 4}


Related Questions

10
Find the measure of b.
90°
b
A 30°
B 90°
120°
D 60°

Answers

Answer:

90 degrees

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

you just look at the sides

Evaluate the expression 2x + 3; if x = 3

Answers

Answer: 9

Step-by-step explanation:

2x+3

2(3)+3

6+3

9

We know the value of x. We just have to substitute 3 in x in the equation.

2(3) + 3

6 + 3

9

9 is your answer. I hope this helps! Let me know if you need more help!

A diagram of a coin is shown.
What is the approximate circumference of the coin? Use 3.14 as an estimate for Pi.
A-21 mm
B-3mm
C-66mm
D-84mm

Answers

Answer:

C. 66 mm (using 3.14, it would be 65.94 mm)

Step-by-step explanation:

From what I know, the radius of this coin is 10.5 mm.

The formula for the circumference of a circle is 2πr or πd.

In this case we're using 3.14 for π.

(2 * 10.5) * 3.14

21 * 3.14

21 * 3.14 is the same as 62.8 + 3.14

62.8 + 3.14

65.94 mm

This is close to 66 mm, which was C, so that is the answer.

Two values, x and y, are the same distance from zero on the number line. the value of x is negative and the value of y is positive. what is x + y

Answers

Answer:

x + y = 0

Step-by-step explanation:

x and y are both the same distance from 0 on the number line. That means they are additive inverses (or opposites). Knowing this law, additive inverses always equal 0.

X + Y=0 I’m pretty sure that’s it if it’s not sorry

‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!

Find the value of (variable) n if the relationship is linear.

Answers

10-6=4
6-(-2)=8

We know the second jump is twice as large as the first, so..

1-3=-2
3-n=-4

n=7

can some one help me its all the points i have :(

Answers

Answer:

-2

Step-by-step explanation:

I need help right now​

Answers

Answer:

I'm too late aren't I

Step-by-step explanation:

What is 0.42 repeating rounded to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

Its 0.42

Should be .42 still

I forgot how to do these types of problems..
A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers. ​

Answers

5789 he has that much holp this helps

Tom wants to order tickets online so that he and three of his friends can go together to a water park. The cost of the tickets is $16.00 per person. This is also a $2.50 one-time service fee for ordering tickets online. Write an expression in terms of n that represents the cost for ordering n tickets online,

Answers

Answer:

16n+2.50

Step-by-step explanation:

At a track meet , 10 different runners compete in the 1600m run.


How many different ways are there for the runners to finish? Show your work for full credit.

Answers

Answer:

There are 3,628,800 different ways for the runners to finish.

Step-by-step explanation:

Arrangments of x elements:

The number of possible arrangments of x elements is given by the following formula:

[tex]A_{x} = x![/tex]

In this question:

10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So

[tex]A_{10} = 10! = 3628800[/tex]

There are 3,628,800 different ways for the runners to finish.

please help me please pleaseee

Answers

Answer:

2.57

Step-by-step explanation:

10*10*10 = 1000

2570/1000 = 2.57

Answer:

2.57

Step-by-step explanation:

in the year 2010, the luxury bike industry had two bike manufactures splendor and passion with the market shares of 30% and 70%,respect. in 2011 the overall market for the product increased by 20% and a new player yahma also entered and cpatures the 10% of the market share.

Answers

Answer: 50%

Step-by-step explanation:

In 2010, there were only 2 bike manufacturers and they had market shares of 30% and 70%.

A new manufacturer joins the market and captures 10% of the market share and Splendor increases to 40% of market share.

Market shares:

Yamaha = 10%

Splendor = 40%

Passion = 100% - 10% - 40%

= 50%

5^4/5+4
Found this on khan

Answers

Answer:

129

Step-by-step explanation:

MAJOR HELP!!! PLEASE ANSWER!!
Do not guess please..

Which one is correct? Show you how know.

Answers

Answer:

(c)   3 x sq rt of 3

Step-by-step explanation:

cos 60 = x/6 x sq rt of 3

.5 = x/6 x sq rt of 3

x=.5 x 6 x sq rt of 3

x=3 x sq rt of 3

(Sorry, I can't type in a square root symbol.)

Santino traveled 168 miles in 2.5 hours to visit the Kalahari Water Park. What is the unit rate, in miles per hour, that Santino traveled?

Answers

Answer:

67.2mph

Step-by-step explanation: you do 168 divide by 2.5

Select the correct answer.
As the number of samples increases, which value can be used to approximate a population mean?

A.
the standard error of the mean
B.
the standard deviation
C.
the confidence interval
D.
the mean of the sample means

Answers

Answer:

C

Step-by-step explanation:

the conference interval

Answer:

C.

the confidence interval

Step-by-step explanation:

thats the answer

what is an annular eclipse​

Answers

Answer:

an eclipes of the sun in which the edge of the sun remains visible as a bright ring around the moon

Step-by-step explanation:

2/3z = 4 1/4
Solve For Z ?​

Answers

Answer: 51/8

Step-by-step explanation:

#3-10: Record the letter of the fraction card that is equivalent to the decimal representation

below. (Not all of the fraction cards will be used.)

3

3. 0.14

A 8

(E 4

4

12

B 5

4.0

5

lo

5

5. 0.8

C2

3

6

H 1

3

6. 0.76

D7

7

50

7. 0.03

(F 5

3

G 19

00

J 1

25

8. 0.625

33

9

9. 0.6

(1 2

(K 4

ט |ם.

+10

10.0.3

10

Answers

Answer:

below. (Not all of the fraction cards will be used.)

3

3. 0.14

A 8

(E 4

4

12

B 5

4.0

5

lo

5

5. 0.8

C2

3

6

H 1

3

6. 0.76

D7

7

50

7. 0.03

(F 5

3

G 19

00

J 1

25

8. 0.625

33

9

9. 0.6

(1 2

(K 4

ט |ם.

+10

10.0.3

what decimal is equivalent to 27/32

Answers

Answer:

0.8438

0.8438 is a decimal and 84.38/100 or 84.38% is the percentage for 27/32.

Step-by-step explanation:

Answer:

0.84375

Step-by-step explanation:

please help
Which expression is equivalent to 8a + 20?

4(2a + 20)

4(2a + 5)

4(4a + 16)

4(4a + 5)​

Answers

Step-by-step explanation:

4(2a + 5) that's the answer

The correct solution would cue the second option - 4(2a + 5).

Amy went bowling at the Links Bowling Center. Shoe rental was $1.75 and games were $2.50 each. She has $20.00. What is the maximum number of games that Amy can bowl?

Answers

Answer:

She can play a total of 7 games.

A total of 7 games and no problem

Hippos can weigh up to 5300 pounds. A baby hippo‘s current weight is 2200 pounds. How much weight can he gain? Right and solve an inequality. Let W represent the weight the baby hippo can gain.

Answers

Baby hippo’s current born weights is 2200. Adult hippos can weight up to 5300 pounds. To find how much more the baby hippo can gain, subtract bith numbers.

W=2200-5300.

Is y=x^2 a fraction?

Answers

Answer:

Nope

Step-by-step explanation:

It's a exponent, x^2 means x*x so it's actually a function

A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below 72. Ricky has recorded his score for each of the 5 rounds.

Strokes - how many times a player swings the club or hit the ball

Round ------------------------------------------------1 2 3 4 5
Number of Strokes Above or Below 72 -5 +6 -2 +4 +5

Write an expression to represent Ricky's total number of strokes for the five rounds.

What was his average number of strokes per round? Show your work.​

Answers

Answer:

(A) ∫₁⁵[Xₙ + k] where n ranges from 1 to 5

(B) 73.6

Step-by-step explanation:

The question is clear enough. Kudos!

So there are many players but we're focusing on Ricky.

Ricky has already recorded his score for each of the 5 rounds in the tournament.

The number of strokes in Ricky's record are to be added to or subtracted from a given number 72

ROUND 1:    [72 - 5] strokes = 67

ROUND 2:   [72 + 6] strokes = 78

ROUND 3:   [72 - 2] strokes = 70

ROUND 4:   [72 + 4] strokes = 76

ROUND 5:   [72 + 5] strokes = 77

(A) Write an expression to represent Ricky's total number of strokes for the five rounds.

Do not panic at this first exercise. You are to write an expression which when evaluated, will give the total number of strokes for all five rounds!

You are already given an abstract number '72' to work with in this question.

It is a fixed quantity which influences the value of strokes for each round.

We will represent this by an algebra, if we have to create the above required expression.

The expression will then be:

∫₁⁵[Xₙ + k] where n ranges from 1 to 5

You already know that the sigma sign '∫' represents summation and that's summation from the subscript '1' to the superscript '5'.

X₁ would be -5,   X₂ would be +6,   X₃ would be -2,   X₄ would be +4,   X₅ would be +5

K is the constant 72

(B) What was Ricky's average number of strokes per round?

Out of the 5 rounds, the average number of strokes per round would be

[67 + 78 + 70 + 76 +77] ÷ 5

= 368/5  = 73.6

Ralph Chase plans to sell a piece of property for ​$160000. He wants the money to be paid off in two ways −a ​short-term note at 9​% interest and a​ long-term note at 7​% interest. Find the amount of each note if the total annual interest paid is ​$12900.

The amount of the ​9% note is ​$___ and the amount of the ​7% note is ​$___?

Answers

Answer:

9%=15,000

7%=12,000

thats what i think.

Answer:

The amount of 12% note is $90,000

The amount of 9% note is $80,000

Step-by-step explanation:

Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"

Selling price = $170,000

Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)

Given total annual interest = $18,000

Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)

18,000 = 0.12x + 0.09*(170000 - x)

18,000 = 0.12x + 15,300 - 0.09x

18,000 = 0.03x + 15,300

0.03x = 18,000 - 15,300

0.03x = 2,700

x = 2,700/0.03

x = 90,000

So, the amount of 12% note is $90,000

So long term paid money = $170,000 - $90,000 = $80,000

So, the amount of 9% note is $80,000

Step-by-step explanation:

The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?

Answers

Answer:

6570

Step-by-step explanation:

18x365=^

The radius of a right circular cone is increasing at a rate of 2 inches per second and its height is decreasing at a rate of 4 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 20 inches

Answers

Answer:

The volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]

Step-by-step explanation:

Let r be the radius of cone and h be the height of cone

[tex]\frac{dr}{dt}=2 in/s[/tex]

[tex]\frac{dh}{dt}=-4 in/s[/tex]

We have to find the rate at which the volume of cone changing when r=10 in and h=20 in

Volume of cone

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=\frac{1}{3}\pi (2rh\frac{dr}{dt}+r^2\frac{dh}{dt})[/tex]

Substitute the values

[tex]\frac{dV}{dt}=\frac{1}{3}\pi(2\times 10\times 20\times 2+(10)^2\times (-4))[/tex]

[tex]\frac{dV}{dt}=\frac{1}{3}\pi(400)=\frac{400}{3}\pi in^3/s[/tex]

Hence, the volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]

i givee brainlilstttt

Answers

Answer:

2,1

Step-by-step explanation:

brainliest pls (only if correct)

Answer:

grgsdrhbyymnyhnyh ghjty

Step-by-step explanation:

ntyntym h jg,ujyh,jhmkgykghmjguy,mhgmgjyk,uygk,gyh

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