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MHF4U - Coggle Diagram
MHF4U
1.Functions: Characteristics and properties
Even and odd functions
Piecewise and step functions
Function transformations
Determinig function values
Domain and Range
Graphing functions
Understanding relations vs Function
Introduction to composite functions
8.Exponential and Logarithmic Functions
Connecting rates to derivaates
Numerical approximations
Applications in physics and economics
Interperting slope in context
Graohical interpretations
Secant and tangent lines
Instantaneous rate of change
Average rate of change
5.Rational Functions, Equations, and Inequalities
Evaluating logs
Laws of log
Converting between exponential and logarithmic form
Solving logarithmic equations
Properties of logarithms
Graphing logarithmic functions
Introduction to logarithms
Logarithmic applications
2.Rate of Change
Identifying polynomial degrees
End behavior of polynomials
Graphing polynomial functions
Factoring polynomials
Finding zeros and multiplicity
Long and synthetic division
Remainder and factor theorems
Solving polynomial equations
3.Polynomial Functions
Understanding rational expressions
Identifying asymptotes
Holes and discontinuities
Graphing rational functions
Solving rational expressions
Domain restrictions
Symplifying rational expressions
4.Polynomial Equations and Inequalities
Properties of exponential functions
Transformations of exponential graphs
Solving exponential equations
The number and natural exponentials
Exponential growth
Compund intrest formulas
Using logarithms to solve exponential equations
7.Trigonometric Identities and Equations
Solving trigonometric equations
Applications of identities
Proving identities
Simplifying trigonometric expressions
Double angle identities
Pythagorean identities
Icompund angle identities
6.Trigonometric Functions
Real world trigonometric problems
Inverse trigonometric functions
Aspplications of sinusiodal models
Amplitude,period,phase shif
Graphs of sine, cos and tangent
Radian and degree measure
Unit circle definitions
9.Applications of Functions
Problem solving
Real world applications
Function operations
Domain determination
Composite functions
Graphical representations