Linear Functions: Understanding and Problem-Solving - Lesson 3.2

Learn about linear functions in this comprehensive mathematics lecture and problem-solving session. Master the concept of functions represented by straight lines, understanding why vertical lines and V-shaped graphs are not considered linear functions. Explore the standard form y = mx + b, discovering how to identify linear functions through key characteristics like first-power terms, absence of variables in exponents, denominators, or radicals, and no multiplication between variables. Grasp the distinction between continuous and discrete domains, with discrete relations using lists and continuous relations using inequalities. Work through 54 practice problems with detailed explanations, accompanied by downloadable textbook materials and graph paper resources. Follow along with clearly marked timestamps for each section, making it easy to navigate specific topics or problem sets within this nearly two-hour mathematical exploration.