What are the domain and range of the function below? (In picture)



What Are The Domain And Range Of The Function Below? (In Picture)

Answers

Answer 1

Answer:

Domain: [0 , )

Range: (- , 4]

Step-by-step explanation:

I) DOMAIN:

For domain, look along the x axis.

The graph starts from x = 0 and it's ending point isn't given in the graph as it continues moving along the positive x axis.

Hence, it's ending point must be

Domain of a function is:

[minimum point in x, maximum point in x]

=> [0, ∞)

"),(" is used for infinity.

"],[" for points that lie within the domain of the function.

II) RANGE

For range, look along the y axis.

The graph starts at y = 4, and continues moving downwards till infinity.

Range:

[minimum in y, maximum in y]

=> (-, 4]

For parenthesis, same rule as domain will be applied. 4 is naturally greater than all values in negative. Hence, maximum point will be 4 and minimum will be -.


Related Questions

PLEASE HELPPPP QUICKLY LOOK AT THE ATTACHED PHOTO FOR TE QUESTION!!!

Answers

Answer:

[tex]\sqrt 10y[/tex]

Step-by-step explanation:

10*[tex]\sqrt{y}[/tex] is [tex]\sqrt 10y[/tex]

[tex]\sqrt{100y}[/tex]

Step-by-step explanation:

Recall that

[tex]10 = \sqrt{100}[/tex]

So we can write our original expression as

[tex]10\sqrt{y} = \sqrt{100}\sqrt{y}[/tex]

[tex]\;\;\;\;\;\;\;\;\;=\sqrt{100y}[/tex]

Patrick gets an allowance of $30 per week. If he babysits his brother, his parents give him an additional $5 per hour for every hour he babysits. Which equation can Patrick use to find y, the amount of money he will have after a week in which x hours of babysitting is done?

y = 30 + 5x
y = 35x
y = 30x + 5
y = 30x

Answers

y = 30 + 5x! this is because he makes $30 no matter what so we won’t be multiplying it so it will not have a variable (x) next to it. then he gets an “additional” $5 an hour for every hour he baby sits. since if it is not always a solid like the $30 because he could babysit for 2 hours or 20. it has the variable (x) next to it!

Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Use compatible numbers to estimate the total cost of the field trip.

Answers

Answer:

$572

Step-by-step explanation:

Since she has to pay $26 for her 22 students, you need to multiply to find the answer$26 * 22 = 572Therefore, she has to pay $572

What is the sum of 6/7 and 1/2?

Answers

Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

The sum of the fraction 6/7 and 1/2 is 19/14

How to add fractions

Given:

sum of 6/7 and 1/2

Sum means addition(+)

= 6/7 + 1/2

The least common denominator is 7 × 2 = 14

= 6/7 + 1/2

= (12+7) / 14

= 19/14

Therefore, the sum of 6/7 and 1/2 is 19/14

Learn more about fraction:

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PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

about 5.1 units

Step-by-step explanation:

to find the length between two points you can use the pythaogorean theorem

5^2 + 1^2 = c^2

25 + 1 = c^2

26 = c^2

c is about 5.09901

rounding to the nearest tenth we get 5.1

Camden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?

Answers

Answer:

0.83

Step-by-step explanation:

Let the price is x.

With 17% discount it becomes:

x - 17% of x =x - 0.17x = 0.83x

The number we need is 0.83

Solution,

Assume That The Price is x

When Will Put It in Equation,

[tex] \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}[/tex]

[tex]{ \longmapsto{ \sf{x-17 \% \: of x =}}}[/tex][tex]{ \longmapsto { \sf{x-0.17x}}}[/tex]0.83

Hence, Required Price is 0.83

What is the common ratio of the sequence?
-2, 6, -18, 54,...

A.-3
B.-2
C.3
D.8

Answers

-3 bc i know everything

Solve the system of two linear equations below graphically y= -x + 1 y= -1/3+ 3

Answers

Answer:

Step-by-step explanation:

Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=

11

Answers

Answer:

P=14

Step-by-step explanation:

Since P depends on two variables x and y as the sum of the two, then;

P = 3+ 11

P = 14

Jenny bought 5 pounds of carrots for $2.50. What is the unit rate for
Jenny's purchase? Identify the true statement that corresponds to this
situation.

A. 2 pounds of carrots per $1
B. $5 per pound

Answers

Answer:

A. 2 pounds of carrots per $1

Step-by-step explanation:

[tex]\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A company claims that their new bottle holds 40% more laundry soap.
If their original container held 53 fluid ounces of soap, how much does the new container hold?
plz show work too plz

Answers

Answer:

74.2

Step-by-step explanation:

53 x .4 = 21.2

21.2 + 53 = 74.2

Help, im incredibly confused

Answers

[tex]f[/tex](x) = 0.20x + 35 : 29.5

We figure 25 people will attend if it rains and 70 people will attend if it does not rain. The weather forecast indicates that there is a 20% chance of rain that day. What is the expected number of people who will attend the party?

Answers

Answer:

34

Step-by-step explanation:

20% of 70 + 80% of 25 = 14 + 20 = 34.

Answer:

61

Step-by-step explanation:

Assuming a linear relationship between the percent chance for rain and the number of attendees, the number is 20% of the way from 70 (0% chance) to 25 (100% chance).

The expected number of people with a 20% chance of rain would be 61.

(hope it helps)

(6y^3) - 42y= -4y^3

please helpp

Answers

Answer:

i have no clue

Step-by-step explanation:

i said this bc apparently i have to help someone to get help and i just wanna finish this math homework lol

a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason​

Answers

Answer:

15 installments

Step-by-step explanation:

3900 = Σ [tex]\left \ {{x=n} \atop {x=1}} \right.[/tex]   400 - 20*(n - 1)

plssssssssss help me Graph y= –73x+2.

Answers

Refer to the attachment for the graph.

[tex]\mathbb{MIREU} [/tex]

Find the exact value of tan π/12.

Answers

[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]

so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]

identify a potential sustainable agriculture practice to reduce the impact of the large-scale intensive agriculture on

Answers

Answer:

Focus on planting trees and and getting healthier soil, improve energy efficiency and not use so much pesticides using natural ways to plant things.

Step-by-step explanation:

What number group includes only the counting number and 0

Answers

Answer:

Integers

The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero)

Two tanks hold a total of 61 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How many gallons does each tank hold?

Answers

Answer:

tank 1 : 19 gallons

tank 2 : 42 gallons

Step-by-step explanation:

tank 1 : x

tank 2 : 2x+4 ( 4 more than twice the other )

x + ( 2x + 4 ) = 61

3x + 4 = 61 [ add x + 2x = 3x ]

3x = 57 [ subtract 4 on both sides ]

x = 19 [divide 3 on both sides ]

tank 1 : 19 gallons

tank 2 : 42 gallons

Solve for x. 3x+11=9x-14

Answers

Answer:

x=25/6

Step-by-step explanation:

3x+11=9x-14

11=6x-14

25=6x

x=25/6

Answer:

[tex]x=\cfrac{25}{6}[/tex]

or

[tex]x=4.16[/tex]

Step-by-step explanation:

[tex]3x+11=9x-14[/tex]

[tex]3x+11-11=9x-14-11[/tex]

[tex]3x=9x-25[/tex]

[tex]3x-9x=9x-25-9x[/tex]

[tex]-6x=-25[/tex]

[tex]\cfrac{-6x}{-6}=\cfrac{-25}{-6}[/tex]

[tex]x=\cfrac{25}{6}[/tex]

Have a good day!

What is the volume of the irregular figure?

Answers

Answer:

the answer u r looking for is 144

Step-by-step explanation:

if u know who this is i will follow u

hint: its from avatar tla

only the first person that answers!!!

What is 14ab+10a written in factored form?

Answers

Answer:

2a(7b+5)

Step-by-step explanation:

yeah-ya....... right?

divide both sides by 2a
2a(7b+5)

I need help on this 1 problem on math

Answers

Answer:

x = 21

Step-by-step explanation:

2x+78 = 5x+15,

because corresponding angles will allow (2x+78) to move diagonally from 5x+15.

from built geometry knowledge,

angles diagonal from one another equal,

because (example) the angle above it would be 180-(2x+78),

then 5x+15 = 180 - [180-(2x+78)], which would ultimately be 5x+15 = 2x+78.

so, 2x+78 = 5x+15

78-15 = 5x-2x

63 = 3x

21 = x

On a number line, where would
7/10 be located? Choose all answers that make
a true statement.

Answers

Your answer will drum roll please: D

Answer:

Step-by-step explanation:

Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies.

Part A: How many teenagers surveyed like comedies? Show your work. (4 points)

Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

Question 3 options:

Answers

Answer with step-by-step explanation:

A: 207

We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.

B. 80 teenagers

We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.

C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.

The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,

(a) Calculate the number of teenagers who like comedy as shown below,

The number of teenagers who like comedy = 45 × 460 / 100

The number of teenagers who like comedy = 207

(b) Calculate the total number of teenagers as shown below,

The total number of teenagers × 50% = 40

The total number of teenagers = 40 × 100 / 40

The total number of teenagers = 100

To know more about percentages:

brainly.com/question/20818421

#SPJ2

y
is directly proportional to
x
2
.
If
y
=
8
when
x
=
2
find
y
when
x
=
3

Answers

Answer:

y = 18 when x = 3

Step-by-step explanation:

y is directly proportional to x^2, meaning:

[tex]y=ax^2[/tex]

where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:

[tex]8=a(2)^2\\8=a4\\2=a\\a=2[/tex]

Now you can use a to solve for y when x is 3:

[tex]y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18[/tex]

Help pls, will give brainliest

Simplify 2^3 x 2^18

Answers

Answer:

it is 2^21

Step-by-step explanation:

Answer:

2^21

Step-by-step explanation:

add 3 and 18 together

dont change 2

The length of a photograph is 6 inches less than little twice the width. The photograph is mounted in a frame that is 3 inches wide on all sides. If the area of the framed picture is 270 square inches, find the dimensions of the unframed photograph.

Answers

Answer:

syuare root 270 to get 16.4 then subtract 6 to get 10.4

Find the perimeter of a semicircle with a radius of 9 in.
Please explain and be accurate.

Answers

Answer:

9π + 18

Step-by-step explanation:

The circumference of a circle is pi times diameter, so 9 x 2 = 18 inches, which is the diameter. That will be the flat side of the semicircle. Then the circumference of the whole circle will be 18π. To find the curved side of the semi-circle, divide this by 2, so you get 9π. Therefore the answer is 9π + 18. The rough answer to 3 decimal places is 46.274

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