Question

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

Answer 1

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

The function end behavior is:

$\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty$

How to determine the end behavior?

The equation of the function is given as:

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

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:

$\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty$

Read more about function end behavior at:

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