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
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