Class 12 Maths · Chapter 1 · CBSE / NCERT

Relations and Functions

Relations and functions, made exact. You’ll learn reflexive, symmetric and transitive relations, equivalence classes, one-one and onto functions, composition and inverses.

14 short lessons · about 58 minutes in all

What you’ll learn

  1. 1A relation is a chosen set of pairs4 min
  2. 2The two extremes: no pairs and all pairs4 min
  3. 3Reflexive: everyone related to themselves4 min
  4. 4Symmetric: every pair works both ways4 min
  5. 5Transitive: chains carry through4 min
  6. 6Equivalence: all three checks pass4 min
  7. 7Equivalence classes: sorting into groups4 min
  8. 8Function, domain, codomain and range4 min
  9. 9One-one: different inputs, different outputs5 min
  10. 10Onto: every output gets used4 min
  11. 11Bijective, and why finite sets are special4 min
  12. 12Composition: one function after another4 min
  13. 13Undoing a function: the inverse5 min
  14. 14Counting one-one functions and relations4 min

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A relation is a chosen set of pairs · about 4 minutes

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