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SACE Specialist Mathematics exam: Tue 10 Nov, 9:00am — 31 days away

ATARMAxxing · SACE Specialist Mathematics revision notes

One-to-one functions and inverse functions

One-to-one functions and inverse functions
Topic 3: Functions and sketching graphs · Subtopic 3.2: One-to-one functions

What this note covers

  1. Testing one-to-one behaviour
  2. Restricting a quadratic
  3. Domain and range swap
  4. Reflection in y=x
  5. Inverse of a rational function
  6. Derivative of an inverse
  7. Restricted quadratic inverses: branches, graphs and derivative checks
  8. Rational inverse and reciprocal-slope analysis

8 sections · 10 key terms & formulas · 6 common mistakes

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SACE Specialist Mathematics · revision note 7 of 20

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