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Relations and Functions

Mathematics · Chapter 1 · Unit 1: Relations and Functions

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Your path through this chapter

  1. Notes Beta

    6 sections with key terms, formulas and exam tips.

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  2. Flashcards Beta

    30 cards for quick recall of key terms and facts.

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  3. Practice

    71 board-style questions with instant checks: Multiple choice 26, Short answer 19, Assertion and reason 6, Long answer 6.

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  4. Chapter test Free

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Topics 4

  1. Relations on a set: empty, universal and identity relations; reflexive, symmetric, transitive and equivalence relations
  2. Functions as special relations; real-valued functions, domain and range; one-one, many-one, into and onto functions
  3. Composite functions
  4. Invertible functions: conditions for invertibility, finding the inverse, sketching a function and its inverse (algebraic functions)