Functions (AQA GCSE Maths): Flashcards

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Functions
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What is a function?

A relationship that takes an input, processes it using a rule, and produces an output

What is function notation?

Writing functions as f(x)=...f(x) = ..., e.g., f(x)=5x+2f(x) = 5x + 2

What is mapping notation?

Writing functions as f:x...f: x → ..., e.g., f:x5x+2f: x → 5x + 2

What does evaluating a function mean?

Finding the output when you substitute a specific input value

What is a composite function?

Combining two functions by applying one to the output of another

In fg(x)fg(x), which function applies first?

Function gg is applied first, then ff to the result

Are fg(x)fg(x) and gf(x)gf(x) the same?

No, order matters in composite functions

What is an inverse function?

A function that reverses the operation of the original function

First step to find inverse function

Write out the equation x=f(y)x = f(y)

How to verify an inverse function

If f(a)=bf(a) = b, then f1(b)f^{-1}(b) should equal aa

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