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Mathé 9ième
Syllabus
Syllabus
Previous exams
January 2015
June 2015
January 2016
June 2016
January 2017
June 2017
January 2018
June 2018
January 2019
Notes du cours
Ex1-4 - Transformations and the Inverse Function
Ex1 - Horizontal and Vertical Translations
Ex2 - Reflections, Compressions and Stretches
Ex3 - Combining Transformations
Ex4 - Inverse Functions and Relations
Ex5-7 - The Radical Function
Ex5 - Radical Function
Ex6 - Square Root of a Function
Ex7 - Solving Radical Equations
Ex8-10 - Properties of the Unit Circle and the Pythagorean Theorem
Ex8A - Angles and Angles in Radians
Ex8B - Coterminal Angles
Ex9A - The Unit Circle
Ex9B - Exact Values on the Unit Circle
Ex10 - Trigonometric Ratios
Ex11-12 - Solving a Trigonometric Equation
Ex11A - Solving Trig Equations
Ex11B - General Solution
Ex12 - Solving Quadratic Trig Equations
Ex13-16 - Trigonometric Identities
Ex13 - Properties of Identities
Ex14A - Sum and Difference Identities
Ex14B - Double-Angle Identities
Ex15 - Proving Identities
Ex16 - Solving Trig Equations Using Identities
Ex17-20 - Trigonometric Functions
Ex17 - Sin, Cos and Tan Graphs
Ex18A - Transformations on Sinusoidal Functions
Ex18B - Transformations on Sinusoidal Functions
Ex19 - Equations of Sinusoidal Functions
Ex20A - Solving Trigonometry Equations Graphically
Ex20B - Solving Problems Using Sinusoidal Functions
Ex21-25 - Exponential and Logarithmic Functions and their Properties
Ex21 - Exponential Functions
Ex22 - Solving Exponential Equations
Ex23 - Logarithms and the Log Function
Ex24 - Graphing the Logarithmic Function
Ex25 - Laws of Logarithms
Ex26-28 - Logarithmic Equations and their Applications
Ex26A - Logarithmic Equations
Ex26B - Solving Equations with Different Bases
Ex27A - Exponential Functions Involving Interest
Ex27B - Exponential Functions Involving Increasing and Decreasing Populations
Ex28 - Problems using Log Functions
Ex29-32 - Polynomial Functions and their Applications
Ex29 - Dividing a Polynomial by a Binomial
Ex30 - Sketching Polynomial Functions
Ex31 - Multiplicity and Stretches of Polynomial Functions
Ex32 - Problems Solving Modelled by Polynomial Functions
Ex33-35 - Rational Functions
Ex33 - Sketching Rational Functions
Ex34 - Sketching Rational Functions
Ex35 - Various Rational Functions
Ex37-39 - Combination and Composition of Functions
Ex37 - Sum and Differences of Functions
Ex38 - Product and Quotient of Functions
Ex39 - Composition of Functions
Ex40-42 - Permutations and Combinations
Ex40 - Factorial Notation
Ex41 - Permutations
Ex42 - Combinations
Ex43-44 - The Binomial Theorem
Ex43 - The Binomial Theorem
Ex44 - The Binomial Theorem (part 2)
Practice Tests
Test1(1-7)
Test2(8-12)
Test3(13-20)
Test4(21-28)
Test5(29-36)
Test6(37-44)