What is the end behavior of the function f of x equals 3 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.

Question

03-08-2022
Mathematics

contestada

What is the end behavior of the function f of x equals 3 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.

Respuesta :

Otras preguntas

Why were industrial and agricultural surpluses a problem for the US economy? The United States did not have an efficient method of distributing goods to consume

(-2x²y)³ / (xy²z)² * (-yz)² Hello guys, im having trouble with this babe... at first I thought it could be equal to: = [(-2 x² y)² * (-2 x² y)] * (-2x² y)¹ /

Which of the following sentences is written in passive voice a. A massage should relax, not stress, you b. Instead of stressing you, a massage should relax you

George Washington tried but failed to convince Americans to avoid getting involved with political parties isolating the nation from international relations sett

The population of a small town in 1990 was 1,200 people, and the population in 2000 was 2,700 people. Let x represent the number of years since 1990. Let y repr

what is an effective ending???

how can you reduce the stress of completing a project

The middle layer of the urinary bladder is identified as ___________. a. Mucous coat b. Submucous coat c. Muscular Coat d. Sphincter Coat

how much interest will roxanne have to pay if she borrows $3,000 for 3 years at a simple interest rate of 2%

LADY MACBETH. Come on; Gentle my lord, sleek o'er your rugged looks; Be bright and jovial among your guests to-night. William Shakespeare, Macbeth, Act III, sce

tutorconsortium33 tutorconsortium33 · Answer 1 · 2022-08-06T13:10:58+02:00

The function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

What is end behavior?

The end behavior of a function f defines the behavior of the function's graph at the "ends" of the x-axis.
In other words, the end behavior of a function explains the graph's trend when we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ).

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).
We can see from the accompanying graph of the function:
As x approaches infinity, so does the function f(x), and vice versa.
As a result, the function end behavior is:

[tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

Therefore, the function [tex]f(x)=4\sqrt[3]{x}[/tex] is a cube root function and the function end behavior is: [tex]x[/tex] → [tex]+[/tex] ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞, and as [tex]x[/tex] → - ∞, [tex]f(x)[/tex] → [tex]+[/tex] ∞

Know more about functions' end behavior here:

https://brainly.com/question/1365136

#SPJ4

The complete question is given below:

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.