Determine the range of the function [tex]\displaystyle f(x)=a\sqrt[3]{bx-c}+d[/tex].

Answers

Answer 1

Hi there!

[tex]\large\boxed{(-\infty, \infty)}}[/tex]

We are given the function:

[tex]f(x) = a\sqrt[3]{bx-c}+d[/tex]

This is the transformation form of a cubic root function. Recall these properties of cubic root functions:

Domain: -∞ < x < ∞ (all real numbers)

Range: -∞ < x < ∞ (all real numbers)

Therefore, the range of the given function is all real numbers, or on (-∞, ∞).


Related Questions

(-6,4); (6-5)

Slope



Giving branliaist answer to the best one

Answers

Do You want me to graph it for you or what
the slope is m = -3 / 4

The U.S. Department of Labor reports that the average prices for a dozen eggs in the month of May for the past 11 years are as follows: $1.19, $1.21, $1.50, $1.93, $1.50, $1.52, $1.69, $1.69, $1.87, $2.00, $1.96 Round to the nearest hundredth (cent) if necessary. The mean price of eggs over this 11-year period is The median price of eggs over this 11 -year period is

Answers

Answer:

Mean price of eggs = $1.64

Median price of eggs = $1.69

Step-by-step explanation:

Mean is the average of the given data

Mean = sum of data/sample size

Sum of data = 1.19+1.21+1.50+1.93+1.50+1.52+1.69+1.69+1.87+2.00+1.96

Sum of data = $18.06

Sample size = 11

Mean price of eggs =18.06/11

Mean price of eggs = $1.64

Hence the mean price of eggs over this 11-year period is $1.64

Median is the price in the middle after rearrangement

Rearranging the data

1.19, 1.21, 1.50, 1.50, 1.52,) 1.69, (1.69, 1.87, 1.93, 1.96, 2.00

Since 1.69 falls in the middle after rearranging;

Hence the median price of eggs over this 11 -year period is $1.69

Solve the problem below by finding a common denominator 1/3 - 1/5

Answers

Answer:

2/15

Step-by-step explanation:

1/3-1/5

5/15-3/15

= 2/15

Answer:

hi

Step-by-step explanation:

[tex] \frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15} [/tex]

have a nice day

What is the slope of the line that passes through
the equation -6x - 4y = -5?

Answers

Step-by-step explanation

-6x-4y=-5
We have to get here —> y=mx+b ,so
-4y=6x-5
-y=6/4x-5/4
-y=3/2x-5/4
y=-3/2x+5/4

And the slope = -3/2

The DrJocker

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂

Tanya has a $50 gift card to spend on Amazon. She wants an airpod case cover for $12.
She also wants to buy some bracelets for $9.50 each. How many bracelets can she buy
without going over?

Answers

Answer:

4

Step-by-step explanation:

She can buy 4 bracelets because 4 x 9.50 = 38 + 12 = 50. So 4 would fit her budget perfectly without going over. LEt me know if you find any fault in my answer! Thanks! Have a good day! Hope this helps!

what is the value of d?

Answers

Answer:

Explanation: you know that a straight line is 180° so
180° - 107° = 73° (this is b)
you also know that a triangle is 180° so after that all you have to do is
180° - 73° - 45° = 62° (this is d)

Hope this helped! :)

You need at least $48,000 in two years. If you earn 4.8% compounded annually, how much principle do you need to invest?

Answers

Answer:

488305

Step-by-step explanation:

100 plus 4.8 percent then add 4.8 percent gets you 109.83

then apply 9.83 percent to random numbers in a calculator

Danielle has to walk 2 miles to reach a hidden temple. She has walked 1 1/4 miles, how many more miles does Danielle need to walk to reach the hidden temple.

Answers

Answer:

[tex]\dfrac{3}{4}\ miles[/tex]

Step-by-step explanation:

Total distance to a temple = 2 miles

She has walked 1 1/4 miles or 5/4 miles

More miles to reach the hidden temple = total distance - walked distance

[tex]=2-\dfrac{5}{4}\\\\=\dfrac{8-5}{4}\\\\=\dfrac{3}{4}[/tex]

So, she has to travel [tex]\dfrac{3}{4}[/tex] miles to reach the hidden temple.

What is the length of AD??

Answers

Answer:

d

Step-by-step explanation:

hiiiiiiii

it’s going to be D for the answer of itttt

help me i give brainliest.

Answers

310 >_ (greater than or equal to) 35x + 9
- 9 -9
301 >_ 35x
/35 /35
8.6 >_ x
Since 8.6 is not a whole number, the answer for the second part is
X<_(less than or equal to) 8

Please help with number 6 and 7. Real answers please!! Help me soon as posible.

Answers

Answer:

b

Step-by-step explanation:

jehdgdhdeoejejrbdnsnskd

HURRY PLEASE I DONT WANT TO FAIL

Answers

Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

62 your answer ^ your welcome

Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - 5x + 1 = 0
ILL MAKE YOU BRAINLEST JUST HELP

Answers

Answer:

i only know one answer which is d

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think b and d

8 Which numbers from this list are less than -0.94?
15
0.24, -2.23, 97%
6, -25,-0.95
16
F
15
- 2.23, and -0.95
16'
15:
6 -2.23, -2, and
and -0.95
H 0.24,
15
and -0.95
16
J
15
16
0.24, and -2.23
+

Answers

Answer:

-0.95, -2, -2.23, -25

Step-by-step explanation:

All you have to do is look at the sign of each number and see whether it's less than -0.94.

It takes Michael 4 minutes to fill 7 buckets with water. Calculate the unit rate of buckets per minute.

Answers

It takes Michael 2/1 minutes

4.

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.


A. inverse variation; xy = 20

B. direct variation; y = 20x

C. direct variation; [tex]y=\frac{20}{x}[/tex]

D. inverse variation; [tex]\frac{y}{x} =20[/tex]

Answers

Answer:  A. inverse variation; xy = 20

ANSWER

Step-by-step explanation:  Brainly

B) xy=20

Inverse because it is of the form y=k/x, intuitively you can see that as x increases y decreases, hence "inverse variation".

...............................................................................................................................................

Answer:

Option B is correct

Inverse variation , xy = 20

Step-by-step explanation:

Inverse variation states:

If  

then the equation is in the form of:

or

xy = k            ....[1]

As per the statement:

Given the data:

x : 2 4 8 12

y : 10 5 5/2 5/3

Let any value of x and y to find k:

x = 4 and y = 5

Substitute in [1] we have;

⇒20 = k

or

k = 20

then we get;

xy = 20

Check:

Substitute x = 12  and y = 5/3

⇒ true.

Therefore, the the data in the table represent a inverse variation and an equation to model the data in the table is, xy = 20

An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS

Answers

Answer: 24 inches

Step-by-step explanation:

Let the radius be represented by x

Therefore, the height will be = 2×x = 2x

Volume of a cylinder = πr²h

where, Volume = 3500

π = 3.14

r = x

h = 2x

We then slot in the values into the formula

Volume = πr²h

3500 = 3.14 × x² × 2x

3500 = 3.14 × 2x²

2x² = 3500 / 3.14

2x² = 1114.65

Divide through by 2

x² = 1114.65 / 2

x² = 557

x = ✓557

x = 23.6 = 24 approximately

The radius is 24 inches

Beth purchased her car for $18,400. Three years later the car was worth $15,200. Find the percent change in the value of her car.​

Answers

Answer:

17.39%.

Step-by-step explanation:

As a percentage (rounded to two decimal places):

A decrease of 17.39%.

75250 tickets were available for an international cricket match. 62% of the tickets were sold
within a day. How many tickets are left?​

Answers

Answer:

46655

Step-by-step explanation:

[tex]75250 \cdot \frac{62}{100} = 46655[/tex]

pls dont put links or I'll report ty​

Answers

x < 9

_

Step-by-step explanation:

I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.

A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. She has devised an equation to solve for which day (x) the lizard would be able to eat the entire population. The equation is 7x = 3x + 4.

Explain to the biologist how she can solve this on a graph using a system of equations.

Answers

Answer:

(-1.307, 0.079), (1, 7)

Step-by-step explanation:

Given equation:

7ˣ = 3x + 4

To solve this, express each side of the equation as different function and find the intersection of graphs of those functions:

y = 7ˣy = 3x + 4

As per graph, the solution is:

(-1.307, 0.079), (1, 7)
7^x=3x+4

Break into two parts

y=3x+4y=7^x

Now graph and find the solution

Find the value of x.​

Answers

Answer:

1

Step-by-step explanation:

the correct answer would be 1

In the equation, y = mx + b, what does the "b" represent? *

Answers

where m is the slope of the line and b is the y-intercept. Hope that helps
The B in y=mx+b represents the Y-intercept

a and b are positive integers and a-b=2. Evaluate the following:
9^1/2b/3^a

Answers

Answer:

[tex] \frac{1}{ 9 }[/tex]

Step-by-step explanation:

[tex] \huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }[/tex]

The evaluation of the expression 9^((1/2)b)/3^a is 1/9

What are some basic properties of exponentiation?

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

Now, for this case, we are given that:

a - b = 2

The expression is:

[tex]\dfrac{9^\dfrac{1}{2}b}{3^a}[/tex]

Since we know that [tex]3^2 = 9[/tex], thus:

[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} = \dfrac{(3^2)^{\frac{1}{2}b}}{3^a} = \dfrac{3^{2 \times 1/2 \times b}}{3^a} = \dfrac{3^b}{3^a} = \dfrac{1}{3^{a-b}}[/tex]

Since a-b = 2, therefore, we get:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} =\dfrac{1}{3^{a-b}} = \dfrac{1}{3^2}} = \dfrac{1}{9}[/tex]

Thus, the evaluation of the expression 9^((1/2)b)/3^a is 1/9

Learn more about exponentiation here:

https://brainly.com/question/15722035

To the nearest cm, what is the circumference? EZ POINTS

Answers

Answer:

95.2

Step-by-step explanation:

C=pi*d

C=3.14*30

C=95.2

Answer:

95.2 :)

Step-by-step explanation:

NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an additional fee of 175.25 for each ton of sugar. The second company charges $5696 to rent trucks plus an additional fee of 225.50 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?

Answers

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

The drama department was considering two options for the winter production. They used the following equations to represent the profit, y, they
would make from the sale of tickets, x, minus the costs.
Option A: y= 5x - 1500
Option B: y = 3x - 500
Which graph correctly shows the point after which Option A becomes more profitable than Option B?

Answers

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

What does x equal to?

Answers

Answer:

x = 25°

Step-by-step explanation:

the angle adjacent to the 130 angle is 50 degrees

x = 180-(105+50)

x = 180-155

x = 25

Solve (x-5)^2=3

Please help

Answers

A is the answer!!!!!!!!!!
Other Questions
Expert Help me plssss. I dont understand how to do it which of the following in NOT found in Both of the United States government and the Indian government? there are 6 rows of chairs 4 rows are empty Only 5 minutes to answer!Why are the weather satellites important on Mars? how many sides a hetergon got Will is writing an essay about behaviors that healthcare providers should avoid. Choose the correct way to complete each sentence.those patients. This behavior creates aProviders who make assumptions about patients based on certain traits are that negatively affects the ability to provide care. At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.12;5 students, 0.13; 6 students, 0.30; and 7 students, 0.33. Let be the number of students per hour of a randomly selected teacher. define isometric angle Why are flowers so important to a plant? istory 20-21Organization of Louisiana's Legislative BranchThemembers.is the larger of the two houses and consists ofconsists of members.The other house, the hello so does any one know the answer to what were some of the problems romes common people face A balloon has a pressure of 3.5atm and a volume of 4.2L. What will the volume of the balloon be if the pressure is increased to 7.0atm? Assume that temperature remains constant. SHOW ALL WORK FOR FULL CREDIT! A cardboard box is shaped like a cube. The length of each face is 15 inches what is the volume of the box in cube inches Make 6 prime number using 1,2,3,4,5,6,7,8,9 4. How did political assumption about the Iraq War, Afghanistan War,and WWI parallel each other? Be specific. Read this excerpt from The People Could FlyThere was a son named Anton. He dreamed that a girl placed a handkerchief over his face. He woke up but he saw no one. Anton told his mother what he had dreamed. His mother said, "Anton, you've dreamed of something enchanted."A few days later Anton dreamed the dream again and it was exactly the same: A girl placed a handkerchief over his face."Anton," his mother said, "you dream of a girl who lives with her father in the tower of the moon."How does the plot influence characterization in this excerpt?The exposition introduces Anton as a fortune teller.The exposition introduces Antons mother as a fanciful woman.The rising action shows Anton facing the challenges of finding the tower.The rising action shows Antons mother reacting to Antons travels. Which of the following tips can hurt your cash flow? A. Increase your sales. B. Pay your bills early. C. Keep a cash reserve. D. Offer credit only to low risk borrowers. Please select the best answer from the choices provided A B C D what is 21x+1 in simple form Which of the following statements most accurately describes recent psychological research on the concept of narcissism? What is the complement of an angle of 41?(A) 41(B) 49(C) 139(D) 90(E) 180