1. Design a roller coaster by making a piecewise function using four different polynomial functions. The domain of the function needs to be restricted to prevent overlapping, and should be a smooth ride.
2. The graph of the roller coaster needs to flow and have at least 4 drops, go underground once (assume y=0 is the ground), and have an initial drop of 208-feet. 3. Then use technology to graph the roller coaster using an appropriate axes.
4. Make sure to list the four individual functions, as well as state the domain and range of each individual function.