Graphing Radical Functions

Here we have a radical function with an odd index. This means the function is defined for all values of $x.$ Thus, the domain is all real numbers. Now, to find the range we'll graph the function.

As we can see, the graph comes from negative $y$-values and then increases as you reach greater $x$-values. This means it must be defined for all values of $y.$ $$\begin{array}{c}\text{Domain: }\text{ All real numbers. }\\ \text{Range: }\text{ All real numbers.}\end{array}$$