Find a and b for a piecewise function to be continuous everywhere. Follow along at - https://jakesmathlessons.com/limits/solution-find-the-values-of-a-and-b-that-make-f-continuous-everywhere/ When we see piecewise functions like this and our goal is to make sure it is continuous everywhere, there are two cases we want to consider separately: 1. making each individual piece continuous on its reduced domain, and 2. making the different pieces line up when our function switches between them. RECOMMENDED READING + The Calculus Lifesaver by Adrian Banner - https://amzn.to/345xB4d WATCH NEXT More Examples and Shortcut of Making a Piecewise Function Continuous - https://www.youtube.com/playlist?list=PL1xaWSV8_rb5EkALQ4f5NIbRurwtkAHXl YOU MIGHT ALSO BE INTERESTED IN... + Problem credit: Chapter 2.4 #36 in Single Variable Calculus: Concepts and Contexts by James Stewart - https://amzn.to/2ChukmL + Download my FREE calc 1 study guide - https://jakesmathlessons.com/Calculus1Course/study-guide-sign-up/ + My Complete Calculus 1 Package - https://jakesmathlessons.com/complete-calculus-1-package/ + Work with me! - Come to Wyzant for some 1 on 1 online tutoring with me and get a $40 tutoring credit for FREE - https://is.gd/cqeuOv Some links in this video description may be affiliate links meaning I would get a commission for your purchase at no additional cost to you.