My humble opinion here is:

F(x, y)=0, which is the implicit function of Y about X (symmetrical, of course, it can also be understood as the implicit function of X about Y), X is the independent variable, and Y is the dependent variable, because once a value in X is given, for example, x=0, the original formula becomes f(0, y)=0, which is a unary equation about Y. Generally, the independent variable can be composed of one about it. Because some unary equations cannot be solved, we can still say that y is determined from f(0, y)=0), so given an x, that is, from f(x, y)=0, one (or more, because unary equations may have multiple solutions) y corresponds to it, thus forming a function of y about x, and the analytical formula f(x, y) corresponds to it.

Of course, the concept of function is broad, and it also contains wisdom and skill. Here are just some reference opinions. Study hard at math, and you will like her.

There is also the buddy upstairs who doesn't know math or doesn't know much about math. Of course, it may be good not to deny his math scores.