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LESSON NOTES FOR FUNCTIONS, GRADE 11, UNIVERSITY PREPARATION (MCR3U)
(Still under construction. Expected completion date: December 2022, all things being equal.)
Arithmetic sequences
Geometric sequences
Recursion formulas
Arithmetic series
Geometric series
Simple interest
Compound interest
Annuity -- future value
Annuity -- present value
Defining a function
Function notation
Investigating domain and range
The inverse of a function
Simplifying polynomials
Rational expressions: simplifying and obtaining restrictions
Adding and subtracting rational expressions
Equivalent rational expressions
Extreme values
Completing the square
Transformations: translations
Transformations: sketches and compressions
Combined transformations
Zeros (roots) of a quadratic
Linear-quadratic systems
Integral and rational exponents
Exponential growth and decay
Graphing exponential functions
Transformations of exponential functions
Word problems involving exponential functions
Trigonometric ratios
Trigonometry with obtuse triangles
Applications of trigonometry
Understanding angles
Identities and special triangles
Periodic functions
Sinusoidal functions
Transformations of sinusoidal functions
Sketching graphs of sinusoidal functions
Solving linear trigonometric equations
Applications of sinusoidal functions