Piecewise-Defined Functions (VCE SSCE Mathematical Methods): Flashcards

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Piecewise-Defined Functions
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Piecewise-defined function definition

Function with different rules for different domain intervals

Alternative name for piecewise-defined function

Hybrid function

Endpoint symbol: included point

Closed circle

Endpoint symbol: excluded point

Open circle

What \leq or \geq means for endpoints

Endpoint is included (closed circle)

What << or >> means for endpoints

Endpoint is excluded (open circle)

How to find range of piecewise function

Examine all yy-values the complete graph covers

Notation for combining separate range intervals

Union notation (\cup)

Discontinuity in piecewise function

Function 'jumps' creating gap in range

Common graphing mistake for piecewise functions

Forgetting to check endpoint inclusion

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