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MA14-03 Maths Watch

Formal Function Notation: Domain and Range

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In this lesson

In this video you'll learn about domain and range for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to use formal function notation to find composite and inverse functions, and check a solution against a stated domain restriction.

What it covers

  1. 1:09 Domain and range: the map, the words, the notation
  2. 4:03 Composite, solve, sieve
  3. 7:01 Inverses run the whole thing backwards, and that changes which values are allowed in the front door
  4. 9:43 Exam technique

Key words

For: Edexcel IGCSE 4MA1, Cambridge IGCSE 0580

On the specification

BoardSpecStatement
Edexcel IGCSE 4MA1H3.2AUnderstand the concept that a function is a mapping between elements of two sets
Edexcel IGCSE 4MA1H3.2BUse function notations of the form f(x) = ... and f : x → ...
Edexcel IGCSE 4MA1H3.2CUnderstand the terms 'domain' and 'range' and which values may need to be excluded from a domain
Edexcel IGCSE 4MA1H3.2DUnderstand and find the composite function fg and the inverse function f⁻¹
Cambridge IGCSE 0580E2.13Understand functions, domain and range and use function notation.
For teachers

This GCSE Maths lesson teaches formal function notation: domain and range. By the end, students should be able to use formal function notation to find composite and inverse functions, and check a solution against a stated domain restriction. It works through two worked examples and the mistakes examiners report.