Define the function `f : R rarr R` by `y = f(x) = x^(5), x in R`. What is the domain and range of this function. Draw the graph of f.

Explanation

To solve the problem, we need to determine the domain and range of the function \( f: \mathbb{R} \to \mathbb{R} \) defined by \( y = f(x) = x^5 \), and then draw the graph of this function.

### Step 1: Determine the Domain
The domain of a function is the set of all possible input values (x-values) for which the function is defined.

For the function \( f(x) = x^5 \):
- Since \( x^5 \) is defined for all real numbers, the domain is:
\[
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