Students must learn to restrict their equation to a specific range of $x$-values. For example: $$y = \frac1x - 3 + 2 x < 3$$

Effectively connects tables, graphs, and symbols, helping students understand why algebraic functions are useful for prediction.

Suddenly, the domain is not just a notation written in set-builder form ($x \neq h$); it is a physical constraint of the game mechanics. A student cannot simply draw a line through the asymptote to get a star on the other side. They must strategize.