1. **State the problem:** Find the range of the function $$f(x) = x^3 - 27$$. 2. **Recall the formula and properties:** The function is a cubic polynomial. Cubic functions of the form $$x^3 + c$$ are continuous and strictly increasing over all real numbers. 3. **Analyze the function:** Since $$x^3$$ can take any real value from $$-\infty$$ to $$+\infty$$, subtracting 27 shifts the graph down by 27 units but does not restrict the range. 4. **Conclusion:** Therefore, the range of $$f(x) = x^3 - 27$$ is all real numbers, i.e., $$(-\infty, +\infty)$$.