Cambridge Mathematics IGCSE Additional - Functions
Course

Cambridge Mathematics IGCSE Additional – Functions

3.1 Functions
3.2 Quadratic Functions
3.3 Exponential Graphs
3.4 Logarithms
3.5 Logarithmic Graphs

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38 Lessons

Course Materials

FUNCTIONS

Relations and Functions

Relations and Graphs

Function Notation

Domain and Range

Composite Functions

Absolute Value (Modulus) Graphs

Inverse Functions

Functions which Have Inverses

QUADRATIC FUNCTIONS

Quadratic Optimisation

Quadratic Graphs Vertices Origin

Vertex of a Parabola

Quadratic Graphs by Completing the Square

Discriminant

Positive Definite and Negative Definitive Quadratics

Finding Solutions by Inspecting Graphs

Where Quadratic Graphs Meet

EXPONENTIAL GRAPHS

Evaluating Exponential Functions

Exponential Graphs

Natural Exponential Graphs

Finding Equations for Graphs of Exponential Functions

Further Graphs of Exponential Functions

LOGARITHMS

Logarithms in Base 10

Logarithm Definition

Logarithmic Laws

Natural Logarithms

Natural Logarithm Laws

Logarithmic Equations

Exponential Equations using Logarithms

Logarithm Change of Base Rule

LOGARITHMIC GRAPHS

Graphing Logarithmic Functions

Graphing Natural Logarithmic Functions

Logarithmic Graphs with Absolute Values

Further Graphs of Logarithmic Functions