MathLabOpen in App Store
A-levelNumber and algebra

Functions and graphs

Domains, ranges, composites, inverses, common graphs, and transformations.

8 lessons78 worksheets377 questions

Lessons

These free MathLab Learn guides are arranged in the order they are most useful for this stage.

  1. 01Algebra and functions
  2. 02Function notation: evaluating and finding functions
  3. 03Graphs of common functions: shapes and key features
  4. 04Graph transformations: translations and reflections
  5. 05Functions, domains and ranges
  6. 06Graphs of functions: shapes, intercepts and asymptotes
  7. 07Graph transformations: translations, stretches and reflections
  8. 08Composite and inverse functions

Practise

Practice moves from direct fluency towards application, reasoning and synthesis.

  1. Intro

    Function notation, values and domains

    Step 1 · 3 worksheets · 34 questions

  2. IntroPractice

    Composite and inverse functions

    Step 2 · 28 worksheets · 143 questions

  3. Practice

    Equations involving functions

    Step 3 · 1 worksheet · 6 questions

  4. Practice

    Reading, sketching and intersecting graphs

    Step 4 · 15 worksheets · 64 questions

  5. Practice

    Modulus and piecewise functions

    Step 5 · 7 worksheets · 34 questions

  6. PracticeChallenge

    Graph transformations and successive transformations

    Step 6 · 20 worksheets · 83 questions

  7. Challenge

    Combined functions, inverses and graph transformations

    Step 7 · 4 worksheets · 13 questions

Ready to practise?

Open MathLab for native maths input, marking, hints, and worked solutions.

Open in the App Store