For this examination, the continued context of a simulation will be used. In function one, the relevant domain is from 0 seconds to approximately 2.165 seconds. Negative values in the context of a projectile make no sense, as it suggests negative time. Going beyond 2.165 seconds is also nonsensical, as it suggests the projectile is driving into the ground. Even if that were possible, a projectile would likely meet some sort of resistance and would not be accurately modelled by the function. The function already does not take into consideration air resistance, so further liberties would be increasingly inaccurate. The pertinent range is from a height of 0 meters to a height of approximately 5.74 meters. Again, going into the negatives on the y-axis suggests the projectile has driven into the ground. This …show more content…
Because this was written on a Chromebook, free applications that are both robust and available online without requiring a downloaded program was key. Google Docs has built-in mathematical typesetting that is easy to use, allowing for both typed shortcuts and simply clicking the option on the menu (if the shortcut is forgotten). For more intensive purposes, the options available in Google Docs may not be sufficient, but for the purpose of this project it was adequate. While there is an add-on for Google Docs that allows for both the construction of equations and graphs, the graph is not created in real-time as the function is being entered. This means any changes to the function requires the insertion of a new graph and the deletion of the old graph, which can be tedious. Desmos, on the other hands, not only creates graphs in real-time, it allows for the toggling of functions, hiding them as desired. Further, it automatically calculates points of interests like maxima/minima and intercepts, also allowing these points to be toggled with a click of the