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Year 11 - Maths

Checking and securing understanding of function notation

Transformations of graphs

Unit Summary

In this unit pupils learn how to perform transformations on functions both algebraically and visually.

Lesson Summary

You will learn to define and use function notation.

Key Notes

  • There is a shorthand for writing a function
  • The notation means that the whole function does not need to be written out each time
  • The notation should always be defined at the start
  • It is possible to substitute the notation for the function it represents

Vocabulary To Learn

  • Function: A function is a mathematical relationship that uniquely maps values of one set to the values of another set.
  • Domain: The domain of a function is the set of values that the mapping is performed on.
  • Range: The range of a function is the set of values mapped to by the function and the stated domain.
  • Inverse function: An inverse function reverses the mapping of the original function.

Common Mistakes To Avoid

  • Pupils may confuse the domain and the range.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

There is a shorthand for writing a function. The notation means that the whole function does not need to be written out each time.

2. Use this key word in a maths sentence and explain it clearly. 'Function'

A function is a mathematical relationship that uniquely maps values of one set to the values of another set. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils may confuse the domain and the range. Correction: Drawing the graph of the function and labelling the axes correctly will help pupils connect domain and range.

More Lessons In This Unit

Browse all guides in the Year 11 Maths guide library.