Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Functions - Main page.


 

Learning area Resources
Introduction to functions.  
Definition and concept Functions and relations, ordered pairs
  One-to-one etc
Notation. Overview of using function notation.
  Function notation - Test Yourself 1.
  Function notation - Test Yourself 1 - Solutions.
   
Characteristics of functions.  
Domain and range Domain and range - Test Yourself 1.
  Domain and range - Test Yourself 1 - Solutions.
Odd and even functions Functions - odd & even - Test Yourself 1.
  Functions - odd & even - Test Yourself 1 - Solutions.
Piecewise functions. Piecewise functions - Test Yourself 1.
  Piecewise functions - Test Yourself 1 - Solutions.
Composite functions Composite functions - Test Yourself 1.
  Composite functions - Test Yourself 1 - Solutions.
   
Transformations
  Summary of shift and dilation transformations -
with examples.
Basic functions. Shift and dilate transformations - Test Yourself 1.
  Shift and dilate transformations -
Test Yourself 1 - Solutions.
   
Recognising the shapes & equations for basic graphs. Overview of basic shapes and their equations.
   
Advanced functions -
exponential, logarithmic & trigonometric.		 Shift and dilate transformations - Test Yourself 1.
Shift and dilate transformations -
Test Yourself 1 - Solutions.
   
Linear functions Main page.
  Direct variation - Test Yourself 1.
  Direct variation - TYS 1 - Solutions.
   
Quadratic Functions Main page.
   
Exponential functions Main page
   
Logarithmic functions Main page
   
   
Hyperbolic functions. Overview of basic sketching approach.
  Hyperbola - Sketching - Test Yourself 1.
  Hyperbola - Sketching - Test Yourself 1 - Solutions.
  Hyperbola - applied questions.
  Indirect variation - Test Yourself 1.
  Indirect variation - Test Yourself 1 - Solutions.
  The Hyperbolic Orbit song words.
   
Circles See Circles - Main page.
   
Trigonometric functions Main page
   
Inverse functions  
   
Parametric functions