How is the general shape of a cube root function different from the shape of a square root function?

Answers

Answer 1

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

How Is The General Shape Of A Cube Root Function Different From The Shape Of A Square Root Function?

Answer 2

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

What is the cube root function?

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

Learn more about the function here:

brainly.com/question/12431044

#SPJ2

Related Questions

One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.

Answers

Hi, did you forget to attach the two-way table to the question? I can't seem to see it, so I can't answer your question

On a certain hot summer's day, 263 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50. How many children and how many adults swam at the public pool that day?

Answers

Answer:

The number of children = x = 176

The number of Adults = y = 87

Step-by-step explanation:

Let us represent

The number of children = x

The number of Adults = y

On a certain hot summer's day, 263 people used the public swimming pool.

x + y = 263.... Equation 1

x = 263 - y

The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.

$1.25 × x + $2.50 × y = $437.50

1.25x + 2.50y = 437.50.....Equation 2

We substitute 263 - y for x in Equation 2

1.25(263 - y) + 2.50y = 437.50

328.75 - 1.25y + 2.50y = 437.50

- 1.25y + 2.50y = 437.50 - 328.75

1.25y = 108.75

y = 108.75 ÷ 1.25

y = 87

Solving for x

x = 263 - y

x = 263 - 87

x = 176

Therefore:

The number of children = x = 176

The number of Adults = y = 87

Find the degree measure of angle Y.

Answers

Answer:

120

Step-by-step explanation:

For the expression 15-15z to have a negative value, what must be true about the value of z?

Choose the correct answer.

A. The value of z has to be 0.

B. The value of z has to be less than 1.

C. The value of z has to be greater than 1.

D.The value of z has to be negative.

Answers

Answer:

C. The value of z has to be greater than 1

Step-by-step explanation:

[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]

A light-year is the distance light travels in one year, about 5.9×1012 mi. Earth is located about 25,000 light-years from the Milky Way's rim. What is the approximate distance, in miles, from Earth to the rim of the Milky Way?

Answers

Answer:

1.475 × 10¹⁴ mi

Step-by-step explanation:

Since 1 light year = 5.9 × 10⁹ mi and the Earth is located about 25,000 light-years from the Milky Way's rim, the approximate distance, in miles, from Earth to the rim of the Milky Way is 25,000 light year = 25,000 × 1 light year

= 25,000 × 5.9 × 10⁹ mi

= 147.5 × 10¹² mi

= 1.475 × 10¹⁴ mi

Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburgers can be made

Answers

Answer:

1 1/2

Step-by-step explanation:

set up a proportion:

8 = 12

1 x

cross-multiply: 8x = 12

x = 12/8

x = 3/2 (simplified)

helppppppppppppp 20 points

Answers

Answer:

4 3/7

Step-by-step explanation:

Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7

The answer to that is 4 3/7

Does anyone know how to work this out

Answers

let x represent yellow cubes

blue cubes = 3x

green cubes = 15x

to make this simpler let's just say x = 1

so 1 yellow cube 3 blue cubes and 15 green cubes

so there are 19 cubes in total

1 of them are yellow

so she has a 1/19 chance of picking a yellow cube

Answer:

1/19

Step-by-step explanation:

y = number of yellow cubes

3y = number of blue cubes

5(3y) = number of green cubes

total number of cubes = 19

P(yellow) = 1/19

What is the solution to −9x−6≥−3(x−4) ?

Answers

The answer is

x ≤ -3

There are 12 varieties of birds in a zoo, the number of each variety being
double of the number of another variety. If the number in the first
variety is 3, find the number in the last variety and also total number of
all varieties of birds in the zoo.maths gp

Answers

Answer:

below

Step-by-step explanation:

Geometric series with first term 3 and common ratio r.

Last variety = 3 * 2^(12-1) = 6144.

Total = 3 * (2^12 - 1) / (2-1)

= 12285

Annie works at a library. She worked for a total of 11 hours in the last 5 days and worked an equal amount of time each day. What is the correct way to show how to find the number of hours she worked each day?

Answers

each day is 24 hours.

so minus 11 from 24 , 5 times, since theyre 7 days in a week.

I THINK IVE ALREADY LEARNED THIS BUT IM NOT GREAT AT MATH <3

6x – 2 = 2х +8
ANSWER QUICKLY PLEASE

Answers

Answer: 2.5

Step-by-step explanation: subtract 2x from both sides and get 4x-2=8 so then add 2 on both sides to get 4x=10 and last step is to divide both sides by 4 which wild get you x=2.5

6x -2x = 8+2
4x = 10
x= 10/4 = 2.5

Which of the following expression(s) are fourth-degree trinomials? Select all that apply.
A. 3x²y + 5x3y + 6yA
B. 6y + 5x3 + 1
C. 5xy - 5x?y2 + 7
D. 3y2 + 3x3y2

Answers

Answer:

Options A and B are polynomial of the fourth degree

Step-by-step explanation:

In this problem, option

A. 3x2y + 5x3y + 6y4

Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree

Also the option

B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial

What is the degree of a polynomial?

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer

Consider I(p) = p(50 - p) , which gives the expected income in dollars from a bungee jump attraction when the ticket price is p dollars. What is I(20)?

Answers

Answer:

I(20) is 600 dollars

Step-by-step explanation:

From the given function, I(p) = p(50 - p)

Where I is the income in dollars and p is price dollars.

To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.

From

I(p) = p(50 - p)

When p = 20

Then,

I(20) = 20(50 - 20)

I(20) = 20(30)

I(20) = 20 × 30

I(20) = 600

Hence, I(20) is 600 dollars

That is, the income is 600 dollars when the ticket price is 20 dollars.

How can you write an equation to solve a problem

Answers

Answer: a nn nn n nn n nn n n n n n n n n n n n n n

Mary Jane scored 85% on her last test. There were 60 questions on the test. How many questions did she get correct? Show your work

PLEASE HELP ME

Answers

Answer: Mary Jane got 51 questions correct.

Step-by-step explanation: x/60 and 85/100. Multiply 60 and 85. When you get your answer, divide it by 100. It should give you the answer.

10z + 3 =9z solve for z

Answers

Answer:

z=-3

Step-by-step explanation:

Step 1: Subtract 9z from both sides.

Step 2: Subtract 3 from both sides.

Holis
sawarasenaikimiwa⛓shoujonano?✨bökùWâÿariçhiñbįcchīńoosûdàyo ah

Answers

Answer:

Oop

Step-by-step explanation:

sawarasenaikimiwa⛓shojonano ✨bökùwâÿariçhiñbįcchīńoosûdàyo

i haded to do it lol

13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS

Answers

Answer:

9) 30 years

10) line passing through points AB and BC are perpendicular

Step-by-step explanation:

9) p = 5t + 150

Current pop. (in thousands) is 150

Double pop. (in thousands) is 300

300 = 5t + 150

150 = 5t

t = 30

10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal

slope of AB = 3

slope of BC = -1/3

Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4

Answers

Answer:

Step-by-step explanation:

Please help with this question

Answers

Answer:

7 pounds

Step-by-step explanation:

From the graph :

The data model:

Using a linear regression calculator :

The equation of best fit for the data is :

y = 0.1x + 1

Weight loss for someone who attended 60 fitness classes :

Using the model:

y = 0.1x + 1

Where x = 60

y = 0.1(60) + 1

y = 6 + 1

y = 7

On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive

Answers

Answer:

U didn't say how many miles Rita drove.

Which graph best represents the equation y = -2/3x + 4

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

The first graph

Step-by-step explanation:

1.) The line has to go down since it's a negative slope so looking at these 3 graphs it cant be the second one, since it has a positive slope

2.) The y-intercept has to be 4, but for the 3rd image it is 3 which is incorrect

3.) The first graph has a slope of -2/3, and a y-intercept of 4 which makes it....

y = -2/3x + 4...and this one is correct

Hope this helped!

have a supercalifragilisticexpialidocious day!

A collector has 90 movie posters and 50 band posters. She wants to sell 27 movie posters but still have her poster collection maintain the same ratio of 90:50. If she sells 27 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.

Answers

Answer:

Step-by-step explanation:

90/27 = 3

50/3 = 16

(2x - 4)+ ( x + 9)
A. 3x+5
B.x+5
C.3x-13
D.x+9

Answers

Answer: option A, 3x + 5

first, i rewrote it and removed the parentheses.

2x - 4 + x + 9

then, i collected the like terms.

3x + 5

PLS HELP ASAP, I'll give BRAINLIEST

Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).

Answers

Answer:

the answer is approximately 8.2 units.

pls help i will give you thanks, 5 star rating and brainlist
An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?

Answers

Answer: 819

Step-by-step explanation: GL

ill give you brainliest if u get it right

Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
a. 10; 1,440
b. 20; 3,240
c. 18; 2,880
d. 36; 6,120

Answers

Answer:

i answered this question so the other guy can get brainliest he deserves it

Step-by-step explanation:

B. 20; 3,460

smiley face

Find the length of segment WZ
T
y
2x
Z
W
3x - 5

Answers

Soo what’s the question

I don’t understand, can someone please help.

Answers

Answer: 40

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

All triangles has the sum of the internal angle equal to 180

2x+10+3x+x+50=180

Combine like terms

6x+60=180

Subtract 60 on both sides

6x=120

Divide 6 on both sides

x=20

Hope it helped :))

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