The Basics (Junior Cert Mathematics): Flashcards

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Notation
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3 ways to write a function (example: x2+3xx^2 + 3x)

f(x)=x2+3xf(x) = x^2 + 3x, f:xightarrowx2+3xf : x ightarrow x^2 + 3x, y=x2+3xy = x^2 + 3x

What function notation describes

A rule that transforms an input into an output

What mapping diagrams show

How a function connects each input to exactly one output

What arrows represent in mapping diagrams

How each input maps to its corresponding output

How many outputs each input maps to in a function

Exactly one output

Domain definition

The set of input numbers

Range definition

The set of output numbers

Rule for a relation to be a function

Each input must be connected to only one output

If an input has 2 arrows to different outputs

The relation is not a function

Number of arrows per input in a function diagram

Only one arrow

What makes a relation NOT a function

An input connected to more than one output

Key characteristic of functions with same input

Always get the same result/output

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