7 Steps to a 7 in Olympiad Algebra - Video 5: Bounding in Functional Equations

Be sure to follow along with my handout here: https://drive.google.com/file/d/1Dzpe... This video is the fifth of seven videos introducing the most fundamental concepts in Olympiad algebra. We end our discussion of functional equations by returning to FEs over the real numbers and the positive real numbers. The real numbers can behave incredibly weirdly sometimes, but if we know exactly when the "weird" stuff goes away, some pretty nice things can happen! 0:00 - Introduction 1:07 - Cauchy's equation over R 11:40 - Example of bounding 29:29 - Final example with bounding Thank you so much for watching this video, please subscribe if you would like to see more videos! #math #olympiad #algebra