1. **State the problem:** Find the range of the function $f(x) = (x-2) - 3$. 2. **Rewrite the function:** Simplify the expression inside the function. $$f(x) = x - 2 - 3 = x - 5$$ 3. **Understand the function type:** This is a linear function of the form $f(x) = mx + b$ where $m=1$ and $b=-5$. 4. **Determine the range:** For linear functions with non-zero slope, the output values cover all real numbers because as $x$ goes to infinity or negative infinity, $f(x)$ also goes to infinity or negative infinity. 5. **Conclusion:** The range of $f(x) = x - 5$ is all real numbers, which can be written as: $$\text{Range} = (-\infty, \infty)$$