Summary of topics: Important types of functions and their properties
Linear functions - Lines
Here you will find all the articles on linear functions and straight lines as well as many exercises on this topic. Straight lines appear as the graphs of linear functions that are characterised by a constant gradient.
Article
- Linear Function
- Linear Function by Table of Values
- Computing the Intersection of Two Lines
- Linear Growth
- Difference Quotient
- Slope/Gradient of a Line
- Gradient and Angle of Inclination
- Line Equation
- Lines in Coordinate Systems
- Parallel Lines (Linear Functions)
Course
Applet
Exercise folder
- Exercises: Linear functions, zeros, axis intercepts
- Exercises: Intersection of two lines
- Further exercises: Linear functions
- Exercises: Linear functions and line equations
- Applied exercises: Linear functions
- Exercises: Linear functions as lines in coordinate systems
- Exercises: Distances, parallel and perpendicular lines
- Exercises: Drawing graphs of linear functions
- Exercises: Finding line equations
Quadratic functions - parabolas
Power- and root functions
Rational functions
Polynomial functions
Exponential and logarithm functions
Trigonometric functions
Article
- Radiant
- Sine and Cosine function
- Tangent function
- Period (of a function)
- Amplitude and rest position
- Shifting and stretching trigonometric functions
- Inverse of trigonometric functions
- Derivatives, symmetries and inverses of trigonometric functions
- Relations between trigonometric functions
- Radial motion and sine/cosine
- Why is the cosine the derivative of the sine?
Applet
- Shifting and Stretching Trigonometric Functions
- Radial Motion and Sine/Cosine
- Tangent Function on the Unit Circle
- Relations Between Trigonometric Functions