Graphing Radical Functions - Square Roots and Cube Roots

Learn to graph radical functions, including square roots and cube roots, in this comprehensive mathematics lecture and problem-solving session. Master the technique of using parent functions (1-1, 4-2, 9-3 for square roots and 1-8, 8-2, 27-3 for cube roots plus negatives) and applying translations before handling reflections and stretches/compressions. Understand how domains and ranges differ between square root functions (limited by negative numbers) and cube root functions (all real numbers). Work through 68 practice problems with detailed explanations, incorporating both traditional graphing methods and graphing calculator applications. Access downloadable resources including textbook materials and specialized graph paper while following along with clearly marked timestamps for each problem set. Explore the relationship between sideways parabolas, circles, and radical functions while discovering how graphing calculator technology can both enhance and complement traditional problem-solving approaches.