© 2016 Shmoop University, Inc. All rights reserved.
Continuity of Functions

Continuity of Functions

Properties of Continuous Functions

Continuous functions are often savvy when it comes to real estate. We've heard they own several properties in East Hampton, Geneva, and Kona. They also hold stake in properties within the Boundedness Theorem, Extreme Value Theorem, and Intermediate Value Theorem. Lucky for us, we're going to visit their properties now—minus the Hamptons, Switzerland, and Hawaii. Sorry for getting your hopes up.

Continuous functions are clean-cut and well groomed compared to other functions. Now's the time for us to talk about what makes them so neat and tidy.

Just a tip: the material in this part may take some time to sink in, so take it slow. We recommend reading things over a couple of times. We also suggest having paper, pencil, and a calculator at hand to draw the functions that arise.

People who Shmooped this also Shmooped...