2.3

• Relation


  • A set of ordered pairs
  • A rule that produces one or more output numbers for every valid input number
• Function


  • A set of inputs, a set of outputs
  • A rule for mapping each input to exactly one output is a relation in which each possible input value leads to exactly one output value
  • The output is a function of the input
• Domain


  The set of all first coordinates
• Range


  The set of all second coordinates
• Representations of Relation


  • Table of values
  • Mapping diagram
  • Graph
  • Ordered Pairs

  
• Inverse Function


  • A function that can reverse into another function
  • If a function "F" takes X to Y, then the inverse of "F" will take Y to X
  • Denoted by f-1 or F-1
• All function is a relation but not all relation is a function
• Types of Relation

  • One to one relation
  • One to many relation
  • Many to one relation
  • Many to many relation