Introduction

A graph is continuous if it has no holes, jumps, or gaps. In this section you will look at graphs that have discontinuities that cause the graph to have holes or gaps.

Let's start by examining some discontinuities. Read Continuous Functions and Discontinuities.

Lesson Objectives

Following successful completion of this lesson, students will be able to...

  • Determine continuity at a point and on an open interval
  • Determine if a continuity is removable or non removable

Essential Questions

  • How does the Fundamental Theorem of Algebra help us analyze and graph polynomials?

Enduring Understandings

  • Students will understand how to use the Fundamental Theorem of Algebra to find roots or zeroes of a polynomial.

The above objectives correspond with the Alabama Course of Study: Precalculus standards: 24, 26, 27.