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Piecewise Functions (Set 2) Worksheet

Algebra 2 Math · printable worksheet (PDF) with answer key · 14 problems · CCSS HSF.IF.C.7

A printable algebra 2 piecewise functions (set 2) practice worksheet with 14 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

For each problem, decide which piece applies to the given input (mind whether the endpoint uses $<$ , $\leq$ , $>$ , or $\geq$ ), then evaluate. Use exact values.

1. Let $f (x) = {3 x + 2 5 - x x < 1 x \geq 1$ Find $f (- 2)$ .
2. Using $f (x) = {3 x + 2 5 - x x < 1 x \geq 1$ , find $f (1)$ . (Be careful which piece includes $x = 1$ .)
3. Using $f (x) = {3 x + 2 5 - x x < 1 x \geq 1$ , find $f (0)$ .
4. Let $k (x) = ⎩ ⎨ ⎧ x^{2} 4 2 x - 1 x \leq - 2 - 2 < x < 3 x \geq 3$ Find $k (- 3)$ .

Plus 10 more problems and a full answer key in the PDF.

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