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ACT Preparation / Unit 10   ACT 0910 short lesson, about 20 seconds

Piecewise Functions

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The idea

A piecewise function uses different formulas on different parts of its domain. To evaluate it, first find which piece's interval holds the input.

In practice

f(x) = x + 2 for x < 0, and x² for x ≥ 0: f(−3) = −1, and f(3) = 9.

Where people slip

Watch the boundary: at x = 0 here, the second rule applies, because of the ≥ sign.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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