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College Algebra  /  Alg 254  ·  Atom · ~20 seconds

Piecewise-Defined Functions

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A piecewise-defined function applies different formulas on different pieces of its domain; the input picks the formula.

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Let f(x) = x + 1 for x < 0 and x² for x ≥ 0: f(−2) = −1 by the first rule, f(2) = 4 by the second.

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Check which piece owns the boundary.

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