Chapter 2.5, Problem 53AYU

To determine

To find: The domain and range of then function $g\left(x\right)=\sqrt[3]{-x}$ and verify the result using graph.

Answer to Problem 53AYU

Domain: $D:\left(-\infty ,\infty \right)$

Range: $R:\left(-\infty ,\infty \right)$

Explanation of Solution

Given: $g\left(x\right)=\sqrt[3]{-x}$

The given function, $g\left(x\right)=\sqrt[3]{-x}$

This is inverse function. The parent function is $p\left(x\right)=\sqrt[3]{x}$

The function flip about x -axis.

Domain: $D:\left(-\infty ,\infty \right)$

Range: $R:\left(-\infty ,\infty \right)$

Now verify using graph.