Relations and functions Grade 11

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