1. Everyday we interact with elements that require "smooth" connections to make them useful and safe. An example is ramps that we use in public spaces that are specifically designed to safely accommodate wheelchairs, walkers, and motorized scooters.

(a) Model the profile of an elevator with a piecewise function and describe where the function needs to be continuous and/or differentiable and why. Justify that the function that you found satisfies the criteria you previously outlined. Include bullet points for this problem to summarize

An elevator is an example of a smooth element. I was wondering how to develop a piecewise function for it? Could you explain what it would be and the terms as described in the question.