Functions and Relations (HSC SSCE Mathematics Advanced): Flashcards

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Functions and Relations
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Relation (definition)

Connection between two sets of values

Function (definition)

Relation where each input has exactly one output

Key requirement for a function

Each input must have exactly one output

One-to-one relation as a function

Yes, each input has exactly one output

Many-to-one relation as a function

Yes, each input still has one output

One-to-many relation as a function

No, one input produces multiple outputs

Many-to-many relation as a function

No, multiple inputs and multiple outputs

Vertical line test

If line hits graph >1 time, not a function

Which relation types are functions?

One-to-one and many-to-one only

Functions vs relations

All functions are relations, not vice versa

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