8.3 Continuity Preview

OpenStax Precalculus 2e — Chapter 12, Section 12.3

Learning Objectives

  • State the three conditions for continuity at a point \(x = a\)

  • Classify discontinuities as removable, jump, or infinite

  • Identify intervals of continuity for piecewise and rational functions

  • Apply the Intermediate Value Theorem (IVT) to guarantee existence of zeros

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.