Pathman: a mathematical game

The "normal" use of a graphing calculator is the following: we define a function, plot the graph and analyze its properties. Pathman works the other way around: we look at the desired properties, imagine the graph and then guess the function.

The goal is to find out the function that follows the white path, catching all three Pacmen, while avoiding the walls and obstacles.

It has 3 difficulty levels: on Easy functions have one vertical and one horizontal asymptotes; on Medium there are two vertical asymptotes; and on difficult there's a slant asymptote instead of a horizontal one.

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