Here is the graph of the function $f(x) = \frac{1}{1-x}$. The red dashed line represents the asymptote at $x = 1$.

Would you like more details or have any questions?

Here are five questions you might want to ask:

1. Can you explain why there is an asymptote at $x = 1$?
2. What happens to $f(x)$ as $x$ approaches 1?
3. Can you show the calculations for finding the limits of $f(x)$ as $x$ approaches 1?
4. How do you find the derivative of $f(x)$?
5. Can you show the integral of $f(x)$?

Tip: When plotting functions with asymptotes, always check the behavior of the function near the asymptotes to understand how the function behaves at those points.