Course

IB Mathematics SL – Functions

International Baccalaureate
Mathematics Standard Level

Topic 2 - Functions

2.1 Quadratics
2.2 Quadratic Graphs
2.3 Real Functions
2.4 Graphs

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38 Lessons




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Course Materials

2.1 QUADRATICS

Solving by Factorisation

Solving by Completing the Square

Quadratic Formula

Problem Solving with Quadratics

Discriminant

Positive Definite and Negative Definite

Quadratic Optimisation

2.2 QUADRATIC GRAPHS

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

2.3 REAL FUNCTIONS

Relations and Functions

Function Notation

Domain and Range

Composite Functions

Sign Diagrams

Rational Functions

Inverse Functions

2.4 GRAPHS

Where Graphs Meet

Reciprocal Functions

Exponential Graphs

Natural Exponential Graphs

Graphing Logarithmic Functions

Graphing Natural Logarithmic Functions

2.5 TRANSFORMATION OF GRAPHS

Translations and Transformations

Transformation of Rational Functions

Reflections and Transformations

Stretches