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Free Year 12 Functions Worksheets

1 free functions resources for Year 12: 1 worksheets. Answers included.

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Function notation, domain and range, transformations. In Year 12, Year 12 is the final year, assessed for the HSC, VCE, QCE, WACE, SACE or equivalent.

Students will practise: evaluating functions and finding the natural domain and range; applying transformations to points and equations; forming composite functions and finding inverse functions; identifying intercepts, asymptotes, turning points and range for parabolas, hyperbolas and exponentials.

Worked Examples

Step-by-step solutions to model the method.

  • Worked Examples

    HSC/VCE-style Functions and Graphs Practice with Worked Solutions

    Ten exam-style questions on functions and their graphs: function notation, domain and range, transformations of points, composite and…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
    Questions
    10 questions
    Answers
    Answers included

Common questions

What do Year 12 students learn about functions?

Function notation, domain and range, transformations. At Year 12, our resources focus on: evaluating functions and finding the natural domain and range; applying transformations to points and equations; forming composite functions and finding inverse functions; identifying intercepts, asymptotes, turning points and range for parabolas, hyperbolas and exponentials.

Where should we start?

Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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