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

Your thrteater company sells tickets to their holiday showing off the nutcracker. Tickets cost $5 each. Tickets for adults cost $8 each. The total sales on opening night is $720. Write an equation to show the total sales as a combanation of kid tickets and adult tickets sold.

Answers

Answer:

5x + 8y = 720

Step-by-step explanation:

Let the :

Number of kid tickets sold = x

Number of adult tickets sold = y

Hence:

Tickets for kids cost $5 each.

Tickets for adults cost $8 each.

The total sales on opening night is $720.

The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:

$5 × x + $8 × y = $720

5x + 8y = 720

Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is

5x + 8y = 720

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

Hi another math question please help:)

Answers

Answer:

1). Yes

2). Yes

3). No

Step-by-step explanation:

1). y = 3

  We can rewrite this equation in the slope-intercept form as,

   y = 0.x + 3

  Here, slope = 0

  y-intercept = 3

  Therefore, it's a linear relation.

  YES.

2). 2x - 5y = 10

   5y = 2x - 10

   y = [tex]\frac{2}{5}x-2[/tex]

   Therefor, it's a linear function.

   YES

3). y = x(x + 3)

   y =x² + 3x

   Since, this equation is a quadratic equation,

   It's not a linear function.

   NO

Find the value of 64 3/2

Answers

Answer:

65 1/2 or 65.5

Step-by-step explanation:

3/2 = 1.5 or 1 1/2

Answer:

65 1/2

Step-by-step explanation:

Five-eights of the sixth grade students at clearview middle school buy their lunch. If 256 students buy their lunch, how many sixth grade students are there

Answers

Answer: 409.6

Step-by-step explanation:

Let the total number of sixth grade students be represented by x.

We are further told that 5/8 of the sixth grade students at clearview middle school buy their lunch which was about 256 students. We can represent this into an equation as:

5/8 × x = 256

0.625x = 256

x = 256/0.625

x = 409.6

ARE ON
1. Which of the following is most likely a graph of y=-2x +3?

Answers

The answer is:y=-1x+3

Select ALL the correct answers.

Which equations have a greater unit rate than the rate represented in the table?

Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x

Answers

Answer:

y = 5/7 x

y = 7/9 x

y = 3/4 x

Step-by-step explanation:

Firstly, let us get the unit rate on the table

That would be;

y/x = 2/3

y = (2/3)x

so the fractions greater than 2/3 will

be our answer

3/4 is greater

7/9 is greater

5/7 is greater

X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0

Answers

Answer:

STEP   1

Equation at the end of step 1

 (((x3) -  22x2) -  11x) +  30

STEP  2

Checking for a perfect cube

2.1    x3-4x2-11x+30  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-11x+30  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+30  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (-11x+30) • (1) = (11x-30) • (-1)

Group 2:   (x-4) • (x2)

For what value of x must ABCD be a parallelogram?

Answers

Answer:

yes it could be

Step-by-step explanation:

Answer:

5x = 6x-7 subtract 6x from each side-x=-7x=7

Round off 3.447 g to the nearest 1/100 g
pls help

Answers

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

marking Brainlist 7-9g+3g

Answers

Answer:

7-6g

Then you do the 1 step equation.

Divide both sides by 6.

1.16=g

I'm not sure if it's right.

PLZ HELP ME
saeszxdrctfvgybhunjimkoploihuy7gt5rdesxrdfghbinug 6frbed46c5rtf

Answers

Answer:

Sorry just trying to get pts

Step-by-step explanation:

The table shows the amount of apple sauce made from one apple of each size. Patrice has 17 medium apples and 23 large apples. What is the total amount of apple sauce that she can make with these apples? here's the table:

Apple size: small medium large


1/3 cup 1/2 cup 3/4 cup

Answers

Answer:

uhhhhh 75

Step-by-step explanation:

Can someone help w this

Answers

He will burn 3235 calories in a week because 325*4=1300 645*3=1935 so you add them together and get your total 1300+1935=3235.
I wish you luck on whatever you're doing

A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if both sink dripped at the same time how many minutes until they both drip at the same time again

Answers

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

Identify the correct Triangle Congruence Theorem that describes the figure below.


A. SAS
B. ASA
C. AAS
D. SSS
E. HL

Answers

Answer:

ASA

Step-by-step explanation:

Don't worry I just know

Please help ASAP!!!!

Answers

Answer:

(-2, 0, 1, 3)

Step-by-step explanation:

From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis

Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;

The x coordinates of the x-intercepts are given as follows;

1) Two lines to the left of the origin which represents "-2"

2) Through the origin, which represents "0"

3) One line to the right of the origin which represents "1"

4) Three lines to the right of the origin which represents "3"

The set of values that represents the x-intercepts of the function are;

(-2, 0, 1, and 3)

3 1/4 - 4 1/2 show your work

Answers

If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?

Answers

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k

need help solving a practice question ​

Answers

look at the step by step explanation.

Step-by-step explanation:

Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.

Answer:

Complicated answer.

Step-by-step explanation:

So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.

1. The perimeter is actually 24

2. The side lengths are actually 4

Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!

1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?

Answers

Answer:

Ben has 8 dimes and 7 quarters.

Step-by-step explanation:

Given that:

Number of coins = 15

Worth of coins = $2.55 = 2.55 * 100 = 255 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

x+y=15     Eqn 1

10x+25y=255     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=15)

10x+10y=150     Eqn 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y) = 255 - 150

10x+25y-10x-10y=105

15y=105

Dividing both sides by 15

[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]

Putting y=7 in Eqn 1

x+7=15

x=8

Hence,

Ben has 8 dimes and 7 quarters.

HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ

Answers

hope it will help you.........

Answer:

UV=UZ+ZV

Step-by-step explanation:

UV=3y-5+2z+2

=3y+2y-3

but UV =27=3y+2y-3

30 =3y+2y

bisect means cut in to two equal parts so

3x+3=3y+6

3x-3y=6-3

3x-3y=3

then combine the two equation

30 =3y+2y this is 30=5y which is y=6

3 = 3x-3y so enter y=6 into this equation

3=3x-3*6

3=3x-18

3x=21

x=7


Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?

Answers

Answer:

1400/100 x 2.25 = $31.50

does this graph represent a function? if yes why?

Answers

Yes, it is a function because each member in the domain is assigned to exactly one member in the range

Consider two people where one person is 25% taller than the other but proportion in exactly the same way That the taller person looks like a lager version of the shorter person Suppose the shorter person has a 36%-inch waist what size is the the taller person's waist?

Answers

Answer:

46.8 inches

Step-by-step explanation:

Taller person = 30% more than height of shorter individual

Waist size of shorter person = 36 inches

Since they are proportioned in the same way:

Waist size of the taller person will be 30% larger than the waist size of the shorter person :

30% increase in size 36

(100 + 30)% of 36

130% of 36

(130 / 100) * 36

1.3 * 36

= 46.8 inches

What is the distance from C to D?

A. 5 units
B. 1 unit
C. 25 units
D. 7 units

Answers

Answer:

Option A

Step-by-step explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]

[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

A livestock pen is built in the shape of a rectangle that is four times as long as is wide. The total perimeter is 60 ft. Write an equation that models the perimeter in terms of width and/or length, find the length and width.

Answers

Answer:

Perimeter = 60ft = 2(4x + x)

breadth = 6ft

length =  24ft

Step-by-step explanation:

Perimeter = 2 (L + B)

L =length

B = Breadth

x= breadth

4x = length

Perimeter = 60ft = 2(4x + x)

Dividing both sides by 2 :

30ft= 4x + x

30ft = 5x

divide both sides by 5

6ft= x

breadth = 6ft

length = 4x= 4 x 6 = 24ft

The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?

Answers

hii I am enter in wrong serve ....

Answer:

have u goa answer

Step-by-step explanation:

find f(-3) f(x) = 4x+7​

Answers

Answer:

-5

Step-by-step explanation:

4(-3) + 7

-12+7

Answer:

f(-3) = -5

Step-by-step explanation:

f(x) = 4x + 7

f(-3) = 4(-3) + 7

f(-3) = -12 + 7

f(-3) = -5

Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?

Answers

Answer: 2,385

Step-by-step explanation:

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