Cambridge Mathematics IGCSE International Extended - Functions and Sets
Course

Cambridge Mathematics IGCSE International Extended – Functions and Sets

3.1 Functions
3.2 Quadratic Graphs
3.3 Transformations
3.4 Inverse Functions
3.5 Vectors
3.6 Set Theory
3.7 Venn Diagrams

67 Lessons
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Course Materials

FUNCTIONS

Relations and Functions

Relations and Graphs

Function Notation

Domain and Range

Absolute Value (Modulus) Graphs

Rational Functions

Further Rational Functions

Reciprocal Functions

Polynomial Graphs

Asymptotes

Composite Functions

Cubic Polynomials in Intercept Form

QUADRATIC GRAPHS

Key Features of Quadratic Graphs

Quadratic Graphs from Tables of Values

Quadratic Graphs Vertices Origin

Quadratic Graphs Up Down

Parabola Touches X-axis

Parabola in Vertex Form

Parabola in Intercept Form

X-intercept Y-intercept

Axis of Symmetry

Vertex of a Parabola

Quadratic Graphs by Completing the Square

Finding Quadratics from Graphs

Where Quadratic Graphs Meet

TRANSFORMATIONS

Translations and Transformations

Transformation of Rational Functions

Dilations and Transformations

Stretches

Transformations

Translations

Reflections

INVERSE FUNCTIONS

Relations and Their Inverses

Functions and Their Inverses

Understanding Inverse Functions

Restricting Functions

Inverse of Exponential and Logarithms

VECTORS

Vectors and Scalars

Vector Equality

Position Vector

Vector Addition

Vector Subtraction

Basic Vector Equations

Scalar Multiplication

Vectors in the Plane

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