Cambridge Mathematics IGCSE (US) Extended - Functions
Course

Cambridge Mathematics IGCSE (US) Extended – Functions

3.1 Functions
3.2 Graphs
3.3 Exponential Graphs
3.4 Trigonometric Graphs
3.5 Transformations
3.6 Inverse Functions
3.7 Vectors
3.8 Pythagoras Theorem
3.9 Trigonometry
3.A Non-Right Angled Triangles

77 Lessons

Course Materials

FUNCTIONS

Relations and Functions

Relations and Graphs

Function Notation

Domain and Range

Composite Functions

Functional Equations

Inverse Functions

GRAPHS

Average Rates of Change

Gradient using Rates of Change

Finding Gradient from an Equation

Sketching Linear Graphs

Polynomial Graphs

Reciprocal Functions

Further Graphs of Basic Power Functions

EXPONENTIAL GRAPHS

Exponential Graphs from Tables

Exponential Graphs

Finding Equations for Graphs of Exponential Functions

Further Graphs of Exponential Functions

TRIGONOMETRIC GRAPHS

Sine Graphs in Degrees

Cosine Graphs in Degrees

Tangent Graphs In Degrees

TRANSFORMATIONS

Translations and Transformations

Transformation Axis Lines of Symmetry

Reflections of Transformation

Rotations of Transformation

Dilations

INVERSE FUNCTIONS

Relations and Their Inverses

Functions and Their Inverses

Understanding Inverse Functions

Restricting Functions

VECTORS

Vectors and Scalars

Vector Equality

Position Vector

Vector Addition

Vector Subtraction

Basic Vector Equations

Scalar Multiplication

Vectors in the Plane

Length of a Vector

Operations with Plane Vectors

Vectors between Two Points

Vectors in Space

Operations with Vectors in Space

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