The function in the image is:

$f_4(x, y) = \frac{x^2 y}{x^2 - y}$

It represents a two-variable function $f_4(x, y)$ where the numerator is $x^2 y$ and the denominator is $x^2 - y$.

Would you like me to explain how to analyze this function further (e.g., finding its domain, critical points, or behavior)?

Here are 5 related questions to consider:

1. What is the domain of the function $f_4(x, y)$?
2. How can we find partial derivatives of $f_4(x, y)$?
3. What is the behavior of the function near points where the denominator is zero?
4. Can we analyze the asymptotic behavior of the function as $x$ or $y$ becomes large?
5. Is it possible to simplify the function under certain conditions?

Tip: When analyzing a function involving division, always check where the denominator becomes zero, as these are potential points of discontinuity.