4.5 Curve Sketching

OpenStax Calculus Volume 1 — Section 4.5

Learning Objectives

  • Follow a systematic procedure: domain, intercepts, symmetry, asymptotes, \(f'\), \(f''\)

  • Combine first and second derivative information into a complete graph

  • Sketch graphs of rational, polynomial, and trigonometric functions

  • Verify sketches against known function behavior and key points

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.