This site explains how the Fourier transform of an exponential function is related to the Lorentzian function. Site also contains relevant links.

In this task, students investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.

Given a description of a real-world relationship, determine whether that relationship is linear or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.