Relations and functions Grade 11

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About Course

Relations and functions constitute a pillar and building blocks of all mathematics. They lay a foundation for understanding the most topics in the areas of mathematics. This is the reason why we have attached more importance to this topic.

Relation:  A relation is simply a set of ordered pairs.

A relation can be any set of ordered pairs. The following is an example of a relation:

LEARNING OBJECTIVES

At the end of this chapter you should be able to:

  • Find inverses of one- to- one functions
  • Simplify composite functions
  • Solve problems involving linear functions

KNOWLEDGE

  • Formula, functional notation, set builder notation
  • Inverse functions
  • Composite functions
  • Problems involving linear functions

SKILLS

  • Identification of inverse of a function.
  • Representation of composite functions.
  • Problem solving involving linear functions.

VALUES

  • Logical thinking in solving inverse and composite functions.

Appreciation of functions.

Relation{(1,2),(2, 4),(3, 5),(2, 6),(1, -3)}

Relations are often represented using arrow charts connecting the domain and range elements. Relation = {(1, c), (5, a), (8, b)}

Further Instructions for Relations and Functions Course

Please form the discussion forum for more interactions and explore our pastpapers page for revision and more exercise

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What Will You Learn?

  • Identification of inverse of a function.
  • Representation of composite functions.
  • Problem solving involving linear functions.

Course Content

RELATIONS
RELATION FUNCTIONS REPRESENTATION OF FUNCTIONS COMPOSITE FUNCTIONS INVERSE FUNCTIONS LINEAR FUNCTIONS GRAPH OF A LINEAR FUNCTION DOMAIN OF A LINEAR FUNCTION RANGE OF A LINEAR FUNCTION INVERSE OF A LINEAR FUNCTION LINEAR FUNCTION TABLE

  • Relation
    00:00

Functions
DEFINITION REPRESENTATION OF FUNCTIONS COMPOSITE FUNCTIONS INVERSE FUNCTIONS

Linear Functions
DEFINITION GRAPH OF A LINEAR FUNCTION DOMAIN OF A LINEAR FUNCTION RANGE OF A LINEAR FUNCTION INVERSE OF A LINEAR FUNCTION LINEAR FUNCTION TABLE

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