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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