What is the end behavior of the function f of x equals negative 4 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answers

Answer 1

The function [tex]f(x) = 4\sqrt[3]{x}[/tex] is a cube root function

The function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

How to determine the end behavior?

The equation of the function is given as:

[tex]f(x) = 4\sqrt[3]{x}[/tex]

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

Read more about function end behavior at:

https://brainly.com/question/23968442

What Is The End Behavior Of The Function F Of X Equals Negative 4 Times The Cube Root Of X? As X , F(x)

Related Questions

The leg lengths of a right triangle are 14 in and 26 in. What is the length of the missing side?

Answers

Answer:

29.5

Step-by-step explanation:

14sq + 26sq = 872

sq root of 872 is 29.5

The area of a rectangle is given by the expression, A = 4x2 + 9x + 2 where the width is x +2. Find an expression for the length of the rectangle. Show all steps.​

Answers

Answer:

4x+1

Step-by-step explanation:

1) to find the required expression for the length:

length=area/width;

2) according to the formula above:

[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]

Determine the ratio of the note B to middle C.
a. 1.8877
b. 1.7983
C. 1.9348
d. 1.3654

Answers

C
reasoning because it just makes sense

Answer:

To determine the ratio of the note B to middle C, we need to find the frequency of note B and then divide it by the frequency of middle C.

The frequency of note B is 493.9 Hz, and the frequency of middle C is 261.6 Hz.

Therefore, the ratio of the frequency of note B to middle C is:

493.9 / 261.6 = 1.8877

So the answer is (A) 1.8877

Solve for x please and round

Answers

Answer:

[tex]\displaystyle 74,4[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{67} = cot\:42 \hookrightarrow 67cot\:42 = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]

OR

[tex]\displaystyle \frac{67}{x} = tan\:42 \hookrightarrow xtan\:42 = 67 \hookrightarrow \frac{67}{tan\:47} = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Twenty-six cards with the letters from A to Z are face down. What is the probability that a vowel will be chosen?

Answers

Answer:

5/26

Step-by-step explanation:

There are 26 letters in the english alphabet then out of that 26 there are 5 vowels so the probability is 5/26

a small movie theater sells children's tickets for $4 each and adult tickets for $10 each for an animated movie. The theater sells a total of $338 in ticket sales.

(c) show that after multiplying both sides of the equation in (a) by 2, c=52 and a=18 is still a solution to this equation.

Equation: 4c+10a=388

Answers

Answer:

Proved below!

Step-by-step explanation:

Start by multiplying both sides by 2 (as said in the question):

[tex]\implies 4c + 10a = 388[/tex]

[tex]\implies 2(4c + 10a) = 2(388)[/tex]

[tex]\implies 8c + 20a = 776[/tex]

Substitute the solution(s) in the equation:

[tex]\implies 8(52) + 20(18) = 776[/tex]                                                                   (c = 52; a = 18)

[tex]\implies 416 + 360 = 776[/tex]

[tex]\implies \bold{776 = 776 \ \ \ (Proved)}[/tex]

Answer:

Let c = number of children's tickets sold

Let a = number of adults tickets sold

Given:

Cost of child ticket = $4Cost of adult ticket = $10Total ticket sales = $388

⇒ 4c + 10a = 388

Multiply both sides of the equation by 2:

⇒ 2(4c + 10a) = 2 × 388

8c + 20a = 776

If c = 52 and a = 18, substitute these values into the equation and solve:

⇒ 8(52) + 20(18)

⇒ 416 + 260

776

As 776 = 776, this proves that c = 52 and a = 18 is a solution to this equation.

Which ordered pair is a solution of...
x-y = -3
2x+y = 0

a. (-3,0)
b. (-1,2)
c. (0,0)
d. (1,4)

Answers

It’s B
Explanation: because it’s B

Answer:

the answer to your question is B

What is the median of this data set? {12, 8, 9, 12, 10, 13, 8} Enter your answer in the box.

Answers

Answer:

the median is 10

Step-by-step explanation:

8, 8, 9, 10, 12, 12, 13

8, 9, 10, 12, 12

9, 10, 12

10

Answer:

10

Step-by-step explanation:

I need more help it would be so nice + it is 100 points.

Answers

Answer:

8/3 < 8/2

D

Step-by-step explanation:

8/3 = 2.67

8/2 = 4

So, when fractions have equivalent (same) numerators, the one with the lesser denominator is the greater fraction.

There is more left if 8 is divided by 2 than when it is divided by 3

[Answer]8/3 < 8/2

[Answer] D

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

8/3 < 8/2

Step-by-step explanation:

D. When fractions have equivalent numerators, the one with the lesser denominator is the greater fraction.

8/2 = 4

8/3 = 2.667

Please help me! There is a picture.

Answers

Answer:

a is the write ansere

Step-by-step explanation:

please mar me brainliest

Answer:

A

Step-by-step explanation:

I'm 95.1% sure

how does the number if possible outcomes of a single event help you determine the total number of possible outcomes of a compound event?

Answers

The possible outcomes of an event is the sample space

The product of the sample spaces of the single events determines the total number of possible outcomes of a compound event

How to determine the possible outcomes?

Assume that the number of outcomes of n single events are:

[tex]n_1[/tex], [tex]n_2[/tex], [tex]n_3[/tex],........ [tex]n_n[/tex]

When these single events are combined, they form a compound event.

The number of outcomes of the compound event is the product of the number of outcomes of the single events.

i.e.

[tex]Outcomes = n_1 * n_2 * ......... n_n[/tex]

Hence, the product of the sample spaces of the single events determines the total number of possible outcomes of a compound event

Read more about outcomes at:

https://brainly.com/question/24756209

Can some please explain and solve how to do these unit rate equations?

Answers

Explaining question 7. You first need to know how many she can learn in 1 week so you divide 10 by 2 meaning in 1 week she can learn 5 recipes. Then you just multiply that by 5 weeks so it would be 25 recipes in 5 weeks. The rest of the questions have the same idea.

8. Estimate the product. Then find the
exact product.
(25+4) (52-5)
Х
Estimate:
Exact product:

Answers

Hey there!

ORIGINAL EQUATION:

(25 + 4)(52 - 5)

= (29)(47)

= 1,363

Original answer: 1,363
____________________
SOLVING FOR THE ESTIMATION EQUATION:


25 = 30
4 = 0

~~~~~~~~
52 = 50

5 = 10


(30 + 0)(50 - 10)

= 30(40)

= 1,200


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Find two positive consecutive
even integers such that the
square of the smaller integer
decreased by five times the
larger integer is 536.

Answers

Answer:

[tex]26[/tex] and [tex]28[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote the smaller one of the two even integers ([tex]x > 0[/tex] since both integers are positive.) The larger one of the two consecutive even integer would be [tex](x + 2)[/tex].

The square of the smaller integer would be [tex]x^{2}[/tex].

Five times the larger integer would be [tex]5\, (x + 2)[/tex].

Subtract five times the larger integer from the square of the smaller integer to get [tex](x^{2} - 5\, (x + 2))[/tex].

The value of this expression should be equal to [tex]536[/tex]. In other words:

[tex]x^{2} - 5\, (x + 2) = 536[/tex].

Rewrite and simplify this quadratic equation:

[tex]x^{2} + (-5)\, x + (- 546) = 0[/tex].

[tex]a = 1[/tex].[tex]b = (-5)[/tex].[tex]c = (-546)[/tex]

Apply the quadratic formula to find possible values of [tex]x[/tex]:

[tex]\begin{aligned}x_{1} &= \frac{-b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(-5) + \sqrt{(-5)^{2} - 4 \times 1 \times (-546)}}{2}\\ &= \frac{5 + \sqrt{2209}}{2} \\ &=\frac{5 + 47}{2} \\ &= 26\end{aligned}[/tex].

[tex]\begin{aligned}x_{2} &= \frac{-b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{5 - \sqrt{2209}}{2} \\ &=\frac{5 - 47}{2} \\ &= -21\end{aligned}[/tex].

Since [tex]x > 0[/tex] (both numbers are supposed to be positive), [tex]x = 26[/tex] would be the only valid solution.

Therefore, the two integers would be [tex]x = 26[/tex] and [tex]x + 2 = 28[/tex].


A bottle of perfume is spherical with a diameter of 36 mm.
Calculate the capacity of the bottle, in mL.

Answers

24.4 mL

By converting mm to cm, we get

1 mm = 1/10 cm

18 mm = 18/10 cm

radius (r) = 1.8 cm

To find the volume,

Volume of sphere = 4/3πr3

= 4/3π(1.8)3

Volume = 24.4 cm3

To find the capacity,

1 cm3 = 1 mL

Capacity = 24.4 mL

how many square yards of carpet should stella order if her bedroom measures nine by twelve feet

Answers

36 square yards bc you multiply 9 and 12 which equals 108 and then divide that by 3 since we are talking abt yards which leaves you with 36

You are painting the outside wall of a large building. The wall has a width of 60.11 meters, and a height of 79.88 meters. You need to estimate the total area of the wall, so you know how much paint to buy. Which number below is the best estimate?
A. 4,800 m2
B. 4,400 m2
C. 5,200 m2
D. 5,300 m2

Answers

Answer: A)  4,800 m2

60.11m x 79.88= 4801.5868

Answer:

A. 4,800 m²

Step-by-step explanation:

Given :

=> width of wall is 60.11 meters.

=> height of wall is 79.88 meters.

The area of the wall is = length × breadth

=> 60.11×79.88

=> 4,801.5868m²

Approx. 4,800

Question 3 (1 point)
Which is the explicit rule for the geometric sequence?
10, -30, 90, -270, ...

Answers

Answer:

The rule for this question should be an=10*(-3)^(n-1)

Step-by-step explanation:

Because 10, -30, 90, and -270 divide (for example -30/10, 90/-30 and -270/90 which means the ratio equals -3) To find the ratio, you must divide by its previous term.

Then, the equation for the ratio would be a1 (first term in the sequence) multiplied by the ratio, then to the power of the number subtracted by 1. an=a1*r^(n-1) This is the formula to find the nth term of a geometric sequence.

Hope this helped!

Please help I will give brainliest.

Answers

1. -11x +-27
2. 5
Hope this helps.

The point I(–4, –1) is rotated 90 counter-clockwise about the origin. What is the image of I?


a. I(4, –1)
b. I(–1, –4)
c. I(1, –4)
d. I(4, 1)

Answers

Answer:

I(1, -4)

Step-by-step explanation:

(-4, -1) is in Quadrant 3 where x and y are negative

when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative

and also the values of x and y switches

so the answer will be I(1, -4)

If I have 30 blue balls and 10 red balls and 50 green balls How many balls to I have in all? 30 points.

Answers

Answer:

90 balls

Step-by-step explanation:

simply add them

Answer: 90 balls

Step-by-step explanation:

30 + 10 = 40

40 + 50 = 90.

The diameter of a circle is 6 millimeters. What is the circle's circumference?
Use 3.14 for ​.

Answers

Answer:

18.84

Step-by-step explanation:

Answer:

18.8495559215

Step-by-step explanation:

In order to find circuference we use the formula

C= 2π(r)

c= circumference

r= radius

since they gave you the diameter, you first have to find the radius so you would divide the diameter by two since radius is half of a circle so 6 divided by 2 is 3. From here we would plug in 3 for "r" in the formula I wrote above. So C= 2π(3). then type this into a calculator to get the answer I wrote above. Then round as directed

Can someone please help with this? I'll give brainliest. I don't understand this... or the explanation it gives... the page before was just teaching how to solve simple problems to put on graphs what's an asymptote?

Answers

Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is [tex]4*(\frac{1}{2})^{x} =-2^{x}-1\\[/tex]

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

[tex]y=4*(\frac{1}{2})^x\\ y=-2^x-1[/tex]
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.

-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=[tex]\frac{1}{x}[/tex]. When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

heyyo does anyone knows how to solve this equation and the answer as well??

Answers

Answer:

A

Step-by-step explanation:

tanΘ = [tex]\frac{\sqrt{3} }{3}[/tex] , then

Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{3}[/tex] ) = [tex]\frac{\pi }{6}[/tex]

since tanΘ > 0 then Θ is in first / third quadrants

Θ = π + [tex]\frac{\pi }{6}[/tex] = [tex]\frac{7\pi }{6}[/tex]

solution is { [tex]\frac{\pi }{6}[/tex] , [tex]\frac{7\pi }{6}[/tex] } in the interval 0 < Θ < 2π

prove that
[tex] \frac{1 }{ \sin(x) \times \cos(x) } [/tex]
equals 2csc2x

Answers

Answer:

See below for proof

Step-by-step explanation:

[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]

Thus, the identity is proven

If claire does not make any payments, how much will she owe after ten years? $12,136.67 $3,481.24 $6,090.90 $3,232.74

Answers

The interest formulas will be used to find the amount Claire owes. If the amount has a single compounding per year, simple interest is used, otherwise, compound interest is used.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

More can be learned about interest at https://brainly.com/question/25781328

Answer:

a. $12,136.67

Step-by-step explanation:

What is the area of triangle ABC?

Answers

Answer:

200 sq units

Step-by-step explanation:

As you might know, 3 angles of a triangle adds up to 180*. Since you already know the angles are 60* there is one more 60*. So by this you know that all the sides are equal.

As the given states, one side is 20. So following the standard way to get the area of a triangle b*h/2; 20*20 = 400 / 2 = 200 sq units

Kevin has a deck of cards. There are 10diamonds, 5 spades, 12 clubs and 3 hearts.A card was chosen at random. What is the
probability of not choosing a diamond card?

Answers

Answer: 2/3.

Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total.  1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well.  The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.

Have a great day! :)

find the value of x round to the nearest 10th

I will give brainliest

Answers

Answer:

10.9

Step-by-step explanation:

[tex]According\ to\ the\ question,\ we\ con\ spe\ that[/tex]

             [tex]\sin{40}[/tex]° [tex]=\frac{7}{x}[/tex]

                  [tex]x=\frac{7}{\sin{40degrees}}\\ x\approx 10.9[/tex]

I hope this helps you

:)

A skateboarding ramp is in the shape of a triangular prism, If the entire ramp is to be painted, and a can on spray paint covers 1,000 sq^2, how many cans will be needed?

Answers

Step-by-step explanation:

I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.

please change the numbers in the calculation (and the recalculate) as necessary :

we are dealing with a triangular prism that acts as a ramp.

triangular means that the sides are in the shape of triangles.

but the front, the back and also the bottom areas are rectangles.

the area of a rectangle is length×width.

the area of a triangle is baseline×height/2

since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).

the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).

I understand the height is 14 in.

I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.

now we get the length of the inclined "front" leg of the side triangles via Pythagoras

c² = a² + b²

with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :

c² = 14² + 48² = 196 + 2304 = 2500

c = 50 in

that means our front rectangle of the ramp is actually a square of 50in × 50in.

the entire ramp is to be painted. that means really every side, including the bottom.

so, the whole surface area is the sum of the individual areas.

we have

1 (inclined) front area 50in × 50in

1 back side (straight up) 50in × 14in

1 bottom area 50in × 48in

2 side triangles 48in × 14in / 2 = 48in × 14in

so, we get as total area

50×50 = 2500 in²

50×14 = 700 in²

50×48 = 2400 in²

48×14 = 672 in²

---------------------------

6272 in²

now, one can of spray paint can cover 2000 in².

that means we need

6272 / 2000 = 3.136 cans.

and since we cannot buy fractions of cans, we need to round up.

we need 4 cans to do the painting job.

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This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?yes or no will give brainliest! fill in the table using this function rule. y= 3 + 2xx- 4, 5, 9, 10y- blank When members of a group unanimously choose an incorrect answer, an individual will usually __________.A.refuse to answerB.disagree with the groupC.conform to the groupD.answer correctly i need help with spanish A student is writing about the process of becoming president. Which source is most credible?an article from a government website listing the presidential requirementsan interview with a presidential campaign managera blog post discussing the best and worst presidential terms throughout historyan opinion piece about the presidential term length What is the pass compos of cass le bras? What is the range of the function y = e superscript 4 x y less-than 0 y greater-than 0 y less-than 4 y greater-than 4 3. Lord Henry says that youth is the only thing worth having. Do you agree with thisstatement? Solve the System of equations x = -2 ; y= -3 .(show your work step by step).x+2y = 4 x +y = 1 Fill in the missing term on each line. Simplify any fractions.4t + 11 = 194t =Subtract 11 from both sidest =Divide both sides by 4 The main regions of the brain are theA. Spinal Cord, Brain Stem and cerebrumB. Cerebellum, Spinal Cord and Brain StemC. Cerebrum, Cerebellum, and Spinal CordD. Cerebrum, Cerebellum, and Brain Stem Which of the following best describes Frederick Douglass's role during the Civil War?Group of answer choicesHe promoted African American involvement in the warHe worked to steal Confederate suppliesHe served as a Union commanderHe served as a Union spyFlag question: Question 5 simplify the following expression 472 HELPP!! DUE TONIGHT!! I need answers for A, B, C, and D including the domains of each. please those who know do it urgently........ The galactic city model was developed in response to the growth of suburbs and the need for a more complex model than the sector and concentric zone models. Which of the following is a strength of the galactic city model?. what is the problem in cicada summer? A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack? What is a collection of information in arow representing one object called? Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below. 6,9,1,19,1,6,8,1 find the range and the mode for the datapleaseeee helpppp