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Grade 11 math · F.4 · Functions

Evaluate piecewise functions

Pick the rule whose condition the input meets.

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  1. f(x) = −x − 4 if x < 0 and f(x) = 3x² − 8 if x ≥ 0. Find f(2).

    Answer: 4

  2. f(x) = 2x − 6 if x < 0 and f(x) = 2x² if x ≥ 0. Find f(−3).

    Answer: -12

  3. f(x) = −3x + 3 if x < 0 and f(x) = 3x² + 3 if x ≥ 0. Find f(−4).

    Answer: 15

Tip: Pick the rule whose condition the input meets.

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