Functions and Relations (Grade 12 NSC Matric Mathematics): Flashcards

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Functions and Relations
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Key characteristic of a relation

One input can connect to multiple outputs

Fundamental rule defining a function

Every input has exactly one output

Domain of a function

Set of all possible input values

Range of a function

Set of all possible output values

One-to-one function property

Each input gives unique output; no output shared

Many-to-one function property

Multiple inputs can give same output; 1 input = 1 output

Vertical line test: when NOT a function

Vertical line intersects graph more than once

Meaning of f(3)f(3)

Substitute x=3x = 3 into function ff

Notation for inverse of function ff

f−1f^{-1}

Type of function that can have an inverse

Only one-to-one functions

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