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Chapter 1 · Grade 12 Advanced
Preliminaries of Calculus
A foundation of the function families that calculus is built on — polynomials, rational, trigonometric, exponential, and logarithmic functions — and how transformations reshape their graphs.
Lessons
Lesson 1 · G12 1.1
Polynomials and Rational Functions
Degree, roots, end behaviour, asymptotes.
Open lesson → Lesson 2 · G12 1.2Inverse Functions
One-to-one functions and finding inverses.
Open lesson → Lesson 3 · G12 1.3Trigonometric and Inverse Trigonometric Functions
Sine, cosine, tangent and their inverses.
Open lesson → Lesson 4 · G12 1.4Exponential and Logarithmic Functions
Growth, decay, properties, and the natural base e.
Open lesson → Lesson 5 · G12 1.5Transformations of Functions
Shifts, stretches, reflections.
Open lesson →