A comprehensive guide to understanding functions, their characteristics, and analysis through graphs and tables. The material covers how to identify functions using graphs and tables, explores the characteristics of discrete and continuous graphs, and teaches students how to determine domain and range of relations.
Key points:
- Functions are relations where each input has exactly one output
- Multiple methods exist to identify functions, including vertical line test and input-output analysis
- Graphs can be classified as discrete/continuous, linear/non-linear, and by their behavior (increasing/decreasing)
- Domain and range analysis is essential for understanding function relationships
- Real-world applications help demonstrate practical uses of functions
