1. **State the problem:** Find the domain and range of the function $$f(x) = \frac{2}{3}x + 1$$. 2. **Determine the domain:** This function is a linear function and is defined for all real numbers because there are no restrictions like division by zero or square roots of negative numbers. Thus, the domain is $$\{x | x \in \mathbb{R}\}$$ or simply all real numbers. 3. **Find the range:** Since the function is linear with a nonzero slope $$\frac{2}{3}$$, it can take any real value as $$x$$ varies over all real numbers. Thus, the range is also $$\{y | y \in \mathbb{R}\}$$ or all real numbers. **Final answer:** - Domain: all real numbers - Range: all real numbers