The Basics (Leaving Cert Mathematics): Flashcards

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Terminology
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Definition of a function

Mathematical relationship assigning exactly one output to each input

What does 'exactly one output per input' mean?

One-to-one relationship - key property of functions

In f(x)f(x), what does ff represent?

The name of the function

In f(x)f(x), what does xx represent?

The input of the function

In f(x)f(x), what does f(x)f(x) represent?

The output of the function

Domain of a function

Set of all possible inputs (values of xx)

Range of a function

Set of all possible outputs (values of yy)

Codomain of a function

Set of all values function can map to, whether attained or not

Variable usually representing function input

xx

Variable usually representing function output

yy

Examples of function rules

Adding, multiplying, or squaring the input

Range of f(x)=x2f(x)=x^2 with domain {1,2,3}\{1,2,3\}

{1,4,9}\{1,4,9\}

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