I know the basic graph and shifting the graphs. But I have a special equation. I will explain the specialty of the functions later. Okay...let me say the specialty. This function has infinitely many solutions. I would like to know the GRAPH of the function. I can't draw the graph of this function. Please use computer and show me the picture/ graph of the following functions. Once again thank you for this wonderful site and members of this site.
function is: $x^y$ - $z^2$x + $z^2$y - $y^x$ = 0
Also, I want to know that, what kind of function it is? I mean, is it elliptic curve? or something else....