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
