Graphing Linear Functions and Relations - Lesson 3.1

Learn to graph linear functions through a comprehensive mathematics lecture and problem-solving session that spans 95 minutes. Begin with fundamental concepts of relations and functions, exploring various representations including ordered pairs, tables, graphs, mapping diagrams, equations, and real-world applications. Master the distinction between relations and functions, understanding that functions require unique outputs for each input, demonstrated through practical examples like vending machines. Explore domains and ranges, learning to identify them in different contexts and write them in proper mathematical notation. Grasp the relationship between dependent and independent variables, particularly in equations and real-world scenarios. Work through 43 carefully structured practice problems that progressively build understanding, from basic concept identification to complex applications. Access supplementary materials including textbook sections and scaled graph paper to enhance learning. While some knowledge of solving equations and compound inequalities from previous chapters is helpful, focus primarily on new concepts in graphing linear functions.