GCSE Maths (AQA)

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Function Machines

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Algebra Notation, Vocabulary and Manipulation

Function Machines

3:01 Identities and Functions
Spec A7
  • A function is a series of operations performed on an input value
  • A function machine is a flow diagram used to show the operations of a function
  • A function machine takes an input and performs operations on it before returning an output
  • Example: input of 2, operation of 2 times 2, output of 4
  • Example: input of 15, operation of times 3, output of 45, operation of plus 7, final output of 52
  • Reverse engineering: given output of 30, inverse operation of minus 6, input of 36, inverse operation of times 2, input of 18
  • Checking answer: input of 18, times 2 operation, output of 36, minus 6 operation, final output of 30 confirms correct answer

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