Marbleslides Rationals [exclusive]

Unlike lines or parabolas, rational functions have unique personalities: vertical asymptotes where the function screams to infinity, horizontal asymptotes where it settles down, and holes where it disappears entirely.

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The beauty of the Desmos interface is the lack of penalty for failure. Encourage students to "Launch" the marbles frequently to see exactly where the trajectory breaks. Predictive Thinking Unlike lines or parabolas, rational functions have unique

It is notoriously difficult to explain why a graph has two separate branches. By treating the vertical asymptote as a physical barrier that the marbles cannot cross (and indeed, will slide away from), the concept of discontinuity becomes tangible. Reddit New Activity: Marbleslides - Des-blog Des-blog -

This requires high-level synthesis of the concepts: