This paper integrates technology, in the form of a physics simulation; science concepts, via image formation by lenses; and a mathematics apparatus, in the form of rational functions. All constituents merge into an instructional unit that can be embedded into a high school or undergraduate mathematics or physics course. The cognitive purpose of the paper is to show how to generalize the process of determining image characteristics by using a lens equation converted to an algebraic function. The unit, supported by a simulated experiment, is intended to enhance the traditional methods of determining image characteristics used commonly in physics courses. By implementing limits applications into the analysis, the paper intends to enrich the traditional physics approach and offer insight into the phenomenon of image production. Its far-reaching goal is to ignite learners' curiosity of interpreting natural phenomena through employing more extensive mathematical embodiments. (Contains 10 figures and 1 table.)