The function displayed in the image is:

$f(x) = \frac{4}{x - 1}$

Would you like me to perform a specific analysis on this function, such as finding the domain, range, or other properties?

Here are some related questions you might consider:

1. What is the domain of $f(x)$?
2. What is the vertical asymptote of $f(x)$?
3. How do you find the horizontal asymptote of a rational function?
4. What is the derivative of $f(x)$?
5. Can we integrate $f(x)$?

Tip: When analyzing rational functions, checking for undefined points and asymptotes is crucial for understanding the function's behavior.