## Continuous Functions

Read this section for an introduction to what we mean when we say a function is continuous. Work through practice problems 1 and 2.

### Introduction

We saw a few "nice" functions whose limits as simply involved substituting into the function: . Functions whose limits have this substitution
property are called **continuous functions**, and they have a number of other useful properties and are very common in applications. We will examine what it means graphically for a function to be continuous or not continuous. Some properties
of continuous functions will be given, and we will look at a few applications of these properties including a way to solve horrible equations such as .

Source: Dave Hoffman, https://s3.amazonaws.com/saylordotorg-resources/wwwresources/site/wp-content/uploads/2012/12/MA005-2.4-Continuous-Functions.pdf

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