Piecewise Functions (HSC SSCE Mathematics Advanced): Flashcards

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Piecewise Functions
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Piecewise function

Function using different rules for different domain intervals

Continuous function

Graph with no gaps/jumps; draw without lifting pen

Discontinuity

Point where graph is broken

Check continuity at boundary

Evaluate each piece at point; same value = continuous

Closed circle (●) means

Endpoint included (≤ or ≥)

Open circle (○) means

Endpoint excluded (< or >)

Even function property

f(x)=f(x)f(-x) = f(x)

Odd function property

f(x)=f(x)f(-x) = -f(x)

Key features of quadratic pieces

Turning point, intercepts, direction of opening

Finding function from graph steps

Identify parts, domains, equations; write complete function

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