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Relations and Functions — Part 1: Relations and types of functions

Beta
Lesson

Relations and Functions, Part 1

Who plays the same instrument as whom? A relation records which pairs are linked.

In this lesson you will

  • Describe a relation on a set as a set of ordered pairs
  • Test a relation for the reflexive, symmetric and transitive properties
  • Prove that a relation is an equivalence relation and find its classes
  • Find the domain and range of a real function
  • Classify a function as one-one or many-one, and onto or into
"Plays the same instrument as" links some members and not others.
Imagined Shillong music clubInstrument
Ama, Banriguitar
Daphi, Iba, Kyrsoidrums
Lamphrangflute