The equation in the image you uploaded is:

$f(x, y) = x^2 + 3x + y - 1$

This represents a function of two variables, $x$ and $y$. The expression $x^2 + 3x + y - 1$ is the output of the function $f(x, y)$ for given values of $x$ and $y$.

Would you like me to expand on how this function behaves, its graph, or possibly how to solve for specific variables?

Here are some relevant questions:

1. What does the graph of this function look like in 3D for different values of $x$ and $y$?
2. How can you find the critical points of this function with respect to $x$ and $y$?
3. How do you compute the partial derivatives of $f(x, y)$?
4. Can you solve $f(x, y) = 0$ for specific values of $x$ and $y$?
5. How does this function behave asymptotically as $x \to \infty$ or $y \to \infty$?

Tip:

When dealing with multivariable functions like $f(x, y)$, analyzing partial derivatives can help understand the function's local behavior and whether it has any maxima, minima, or saddle points.