A piecewise is defined by multiple sub-functions, each applying to a certain interval of the main functions domain. It makes sense to me to call this function piecewise because it has two different kind of functions that I think share the same domain and range when it is applied correctly. When I moved the purple dot from left to right I began to realize a change in both functions. I also realized that there was a difference when there was either a concave up or concave down graph.
End your blog post with a question: Why do you guys think that it varies when the graph has a concave upward or downward parabola? And how do you think they are used in real life ?