✅ Polynomial Features: Quick Check (F-IF.C.7c)

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Graph polynomial functions, identifying zeros and end behavior. Work on your own. Then check your answers.

1. f(x) = −(x − 3)(x − 5)(x − 2). Zeros? End behavior?

2. f(x) = −(x + 5)(x + 4)(x − 1). Zeros? End behavior?

3. f(x) = −(x + 2)(x − 4)(x − 1). Zeros? End behavior?

4. f(x) = (x − 4)(x)(x − 1). Zeros? End behavior?

5. f(x) = (x − 4)(x)(x − 4). Zeros? End behavior?

6. f(x) = (x + 3)(x + 1)(x − 5). Zeros? End behavior?

7. f(x) = (x + 4)(x + 1)(x + 5). Zeros? End behavior?

8. f(x) = −(x − 4)(x − 5)(x − 5). Zeros? End behavior?

9. f(x) = −(x + 5)(x)(x − 4). Zeros? End behavior?

10. f(x) = −(x + 5)(x + 1)(x − 3). Zeros? End behavior?

Score: ____ / 10 I can graph polynomial functions, identifying zeros and end behavior: ☐ yes ☐ almost ☐ not yet

Answer key: 1) zeros 2, 3, 5; rises left, falls right · 2) zeros -5, -4, 1; rises left, falls right · 3) zeros -2, 1, 4; rises left, falls right · 4) zeros 0, 1, 4; falls left, rises right · 5) zeros 0, 4; falls left, rises right · 6) zeros -3, -1, 5; falls left, rises right · 7) zeros -5, -4, -1; falls left, rises right · 8) zeros 4, 5; rises left, falls right · 9) zeros -5, 0, 4; rises left, falls right · 10) zeros -5, -1, 3; rises left, falls right

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Worksheets › Grade 12 Math (Precalculus & Statistics) › Polynomial Features › Polynomial Features

Grade 12 (ages 17–18)Numbers & mathsFree printable PDF

About this grade 12 worksheet

Free Grade 12 Precalculus & Statistics math worksheet (Common Core F-IF.C.7c): polynomial features — a ten-question quick check (quiz), with answer key. Skill: Graph polynomial functions, identifying zeros and end behavior. Level: Grade 12 — also suits Year 13 (UK).

For teachers: skills & standards

CCSS F-IF.C.7c: Graph polynomial functions, identifying zeros and end behavior
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 12 (ages 17–18), but use it with any child who is ready.

What skills does it build?

Graph polynomial functions, identifying zeros and end behavior.

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More “Polynomial Features” printables (f-if.c.7c: graph polynomial functions, identifying zeros and end behavior)

Polynomial Features: Practice A (F-IF.C.7c) · Polynomial Features: Practice B (F-IF.C.7c) · Polynomial Features: Mixed Practice & Reasoning (F-IF.C.7c) · Polynomial Features: Show Your Thinking (F-IF.C.7c)

All 5 polynomial features sheets → · Grade 12 Math (Precalculus & Statistics): all 10 skills → · All Common Core grades

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