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ATARMAxxing · WACE Mathematics Specialist revision notes

Absolute value, y = 1/f(x), y = |f(x)|, y = f(|x|) and rational functions with vertical, horizontal and oblique asymptotes

Sketching graphs
Functions · Topic 3.2: Functions and sketching graphs

What this note covers

  1. Absolute value: definition, graphs and equations
  2. Reciprocal graphs y = 1/f(x)
  3. Graphs of y = |f(x)| and y = f(|x|)
  4. Rational functions: vertical and horizontal asymptotes
  5. Oblique asymptotes
  6. Determining rules from graphs and exam technique

6 sections · 11 key terms & formulas · 6 common mistakes

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WACE Mathematics Specialist · revision note 7 of 20

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