Function notation (AQA GCSE Further Maths): Flashcards

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Function notation
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Meaning of f(x)f(x) notation

Function f with input x producing a specific output

Key rule for function outputs

Exactly one output for every input

Function machine analogy

Transforms numbers following a set rule

Technique to evaluate functions

Substitute given value for x everywhere

Find f(5)f(5) when f(x)=x2+2f(x) = x^2 + 2

2727

Find f(−2)f(-2) when f(x)=x2+2f(x) = x^2 + 2

66

Why f(x)=±x2f(x) = ±x^2 isn't a function

One input gives two outputs, violates uniqueness rule

Order when evaluating functions

Brackets, powers, mult/div, add/sub

Find f(−1)f(-1) when f(x)=10−4xf(x) = 10 - 4x

1414

Find f(3x)f(3x) when f(x)=10−4xf(x) = 10 - 4x

10−12x10 - 12x

Solve g(x)=−64g(x) = -64 when g(x)=x3g(x) = x^3

x=−4x = -4

What 'function f of x' means

Shows what happens when you input x

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