Find the domain and the range of the cube root function,
`f:R^(+)uu{0}toR:f(x)=x^(1//3)" for all "x""inR`. Also, draw its graph.

Explanation

To find the domain and range of the cube root function \( f(x) = x^{1/3} \) defined for all \( x \) in \( \mathbb{R}^+ \cup \{0\} \), we will follow these steps:

### Step 1: Identify the Domain
The domain of the function \( f(x) = x^{1/3} \) is the set of all input values \( x \) for which the function is defined. Since the cube root function can take any real number (including zero and positive numbers), the domain is:

\[ \text{Domain} = [0, \infty) \quad \text{(which includes 0 and all positive real numbers)} \]
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