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Master fundamental function concepts through this comprehensive 2.5-hour video playlist that covers essential pre-calculus topics from basic definitions to advanced transformations. Learn the vocabulary of functions and discover what functions are before progressing to practical graphing techniques using both xy charts and graphing calculators like the TI-89 and TI-83/84. Apply the vertical line test to determine if relations are functions, then develop skills in finding domain and range both graphically and algebraically. Analyze function behavior by identifying where functions are increasing, decreasing, or constant, and locate local maximum and minimum points on graphs. Explore advanced topics including finding zeros using calculator technology, working with piecewise functions and their domains and ranges, and understanding function continuity. Practice function operations including addition, subtraction, multiplication, and division of functions, while learning to evaluate difference quotients and find compositions of functions. Investigate function symmetry properties to determine if functions are even or odd, then conclude with comprehensive coverage of function transformations including shifts, stretching, shrinking, reflections, and combinations of multiple transformations applied to functions.
