MCR3U. Final Exam Outline. Unit 1: Introduction to Functions. • Definition of a
Function. • Function Notation. • Domain/Range. • The Inverse Function. •
Graphing ...
MCR3U
Final Exam Outline Unit 1: Introduction to Functions • Definition of a Function • Function Notation • Domain/Range • The Inverse Function • Graphing with Transformations (linear, quadratics, absolute, square root and inverse functions) Unit 2: Equivalent Algebraic Expressions • Expansion of Polynomials • Factoring (general/simple trinomials, difference of squares, perfect squares, factor by grouping). • Working With Rational Expressions (simplifying, addition/subtraction, multiplication/division) • Pascal’s Triangle & Binomial Expansion Unit 3: Quadratic Functions • Solving Problems with Quadratics by Solving or Completing the Square • Operations with Radicals (simplifying, rationalizing the denominator) • Quadratic Formula and the Discriminate • Solving Quadratic-Linear Systems Unit 4: Exponential Functions • Exponent Laws (negative exponents, rational exponents, etc.) • Solving Exponential Equations (by finding a common base) • Exponential Growth/Decay problems • Graphing using transformations of Exponential Functions Unit 5 and 6: Trigonometry • Primary Trig. Ratios (SOH CAH TOA) • Reciprocal Trig Ratios (cosecant, secant, cotangent) • Trig. Ratios for Special Angles (30°, 45°, 60°) • Trig. Ratios for Any Angle (CAST rule, etc.) • Sine/Cosine Law • Sine Law: Ambiguous Case • Proving Trigonometric Identities • Periodic Functions (amplitude, period, equation of axis) • Using Transformation to Graph sine and cosine functions • Solving Problems with Sinusoidal Functions (ferris wheel, population problems etc.) Unit 7: Discrete Functions: Sequences/Series and Financial Applications • Arithmetic/Geometric Sequences • Arithmetic/Geometric Series • Compound Interest • Annuities: Future Value • Annuities: Present Value
