Study Guide
Functions, Domain and Range
An HSC/VCE-style study guide to function notation, the vertical line test, and finding the domain and range of common functions. Worked…
- Difficulty
- Level 2 · Standard
- Time
- 25 min
Free Year 11 Functions Worksheets
2 free functions resources for Year 11: 2 study guides. Answers included.
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Function notation, domain and range, transformations. In Year 11, Year 11 is the first year of senior study.
Students will practise: using function notation to evaluate and substitute expressions; deciding whether a relation is a function using the vertical line test; finding the natural domain of square-root and rational functions; finding the range of a function by completing the square or using a restricted domain; describing vertical and horizontal translations of a graph; describing dilations (stretches) and reflections in the axes; finding the image of a point under a sequence of transformations; writing the equation of a transformed function and stating its key features.
Recommended learning path
Study Guides
Clear explanations, examples and tips.
- Study Guide
Transformations of Functions
An HSC/VCE-style study guide to translating, stretching and reflecting graphs using the form y = a f(b(x − h)) + k. Worked examples track…
- Difficulty
- Level 2 · Standard
- Time
- 25 min
Common questions
What do Year 11 students learn about functions?
Function notation, domain and range, transformations. At Year 11, our resources focus on: using function notation to evaluate and substitute expressions; deciding whether a relation is a function using the vertical line test; finding the natural domain of square-root and rational functions; finding the range of a function by completing the square or using a restricted domain.
Where should we start?
Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.
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
- Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
- Use the answer sheet's working, not just the final answer, to check the method.
- Finish a topic with the topic test to see whether the skill is secure.
- Two or three short sessions a week beat one long one.
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