Function Fundamentals

Foundational concepts: transformations, compositions, inverses, and rates of change

This section contains 8 topics with 0 subtopics, 40 practice problems and 53 flashcards. Each topic includes comprehensive written notes, worked examples with detailed solutions, and interactive lessons for hands-on practice.

Topics Covered

• Function Transformations — Understanding how to shift, stretch, compress, and reflect functions
• Composite and Inverse Functions — Combining functions through composition and finding inverse functions
• Piecewise Functions — Defining and evaluating functions with different rules on different intervals
• Average and Instantaneous Rates of Change — Understanding how functions change over intervals and at specific points
• Circles and Parabolas — Standard forms and key features of circles and parabolas
• Ellipses and Hyperbolas — Standard forms and key features of ellipses and hyperbolas
• Systems of Equations — Solving systems of linear and nonlinear equations using multiple methods
• Arithmetic and Geometric Sequences — Understanding patterns in sequences and finding explicit and recursive formulas

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