Relations and Functions

Relations and Functions

Master CSEC relations and functions ā€” the concept of a relation with its domain, range, image and co-domain; the four ways to represent a relation; what defines a function; functional notation f(x); telling a relation from a function with the vertical line test; composite and inverse functions; and functions in depth. Each lesson has worked examples, diagrams and practice.

13 lessons

Try First Lesson ā†’

Curriculum

Relations
  • šŸ“„Concept of a Relation: Domain, Range and Image
  • šŸ“„Representing Relations
Functions
  • šŸ“„What Defines a Function
  • šŸ“„Functional Notation
  • šŸ“„Relation or Function? The Vertical Line Test
Composite and Inverse Functions
  • šŸ“„Composite Functions
  • šŸ“„The Inverse of a Function
  • šŸ“„Evaluating Composites and Inverses
Functions in Depth
  • šŸ“„Function Machines (Flowcharts)
  • šŸ“„Solving an Equation Using the Inverse
  • šŸ“„The Graph of a Function and Its Inverse
  • šŸ“„Interpolation and Extrapolation
  • šŸ“„Exponential Graphs (f : x ā†’ a nĖ£)