Piecewise-Defined Functions
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State
A piecewise-defined function applies different formulas on different pieces of its domain; the input picks the formula.
Show
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.
Watch for
Check which piece owns the boundary.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.