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

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Piecewise-Defined Functions
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What defines a piecewise-defined function?

Applies different rules to different domains

What is another name for piecewise-defined functions?

Hybrid functions

Which real-world situation is an example of a piecewise function?

Tax brackets with different rates

What does \leq or \geq indicate on a piecewise graph?

Closed circle (point included)

What does << or >> indicate on a piecewise graph?

Open circle (point excluded)

What common mistake occurs when graphing piecewise functions?

Forgetting to check endpoint inclusion

How do you determine the range of a piecewise function?

Examine all yy-values the graph covers

In the linear example, what is the range?

[1,)[-1, \infty)

What causes a gap in the range of a piecewise function?

Discontinuity where function jumps

When is union notation (\cup) needed for range?

When range has separate intervals

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