Free Printable WorksheetMathAlgebra IIMath CurriculumF-IF.7c

ALG2.112 Polynomial Graphs and End Behavior Worksheet

Download our free printable Algebra II Math worksheet on ALG2.112 Polynomial Graphs and End Behavior. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Polynomial Graphs and End Behavior Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.112 Polynomial Graphs and End Behavior. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.112 Polynomial Graphs and End Behavior - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7c. Skill statement in this prompt cell: Sketch and match polynomial graphs using degree, leading coefficient, zeros, and multiplicities; determine end behavior. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7c; CA CCSSM F-IF.7c; MA 2017 F-IF.7c; NY NGLS F-IF.7c; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.112 Polynomial Graphs and End Behavior skill assessments:

Problem 1Difficulty: Mastery
Which complete description matches p(x)=-0.5(x+2)3(x-1)2(x-4)?
ABoth ends rise; bounce at x=-2; flattened crossing at x=1; crossing at x=4; y-intercept -16
BLeft end rises and right end falls; crossings at all three zeros; y-intercept 16
CLeft end falls and right end rises; bounce at x=-2; crossing at x=1; y-intercept -16
DBoth ends fall; flattened crossing at x=-2; bounce at x=1; crossing at x=4; y-intercept 16
Solution & Explanation:The degree is 6 with negative leading coefficient, so both ends fall. Multiplicity 3 at -2 crosses with flattening, multiplicity 2 at 1 bounces, and p(0)=-0.5(8)(1)(-4)=16.
Problem 2Difficulty: Mastery
For p(x)=-(x+4)(x-1)2(x-3)2, which x-intercepts are local maxima on the x-axis?
Ax=-4 only
Bx=-4 and x=1
Cx=1 and x=3
Dx=3 only
Solution & Explanation:The squared factors at 1 and 3 make the graph touch the x-axis. Near those values the other factors and the negative sign make p(x) negative, so the zero points are local maxima on the x-axis.
Problem 3Difficulty: Mastery
If p(x)=3(x-2)2(x+5)2 and q(x)=-p(x), which feature stays the same?
AThe end behavior direction of each end
BThe x-intercepts and their multiplicities
CThe sign of every y-value
DThe y-intercept value
Solution & Explanation:Multiplying by -1 reflects the graph across the x-axis. Zeros and multiplicities stay the same, but end directions and y-values are reversed.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this ALG2.112 Polynomial Graphs and End Behavior worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this ALG2.112 Polynomial Graphs and End Behavior worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice ALG2.112 Polynomial Graphs and End Behavior online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG2.112 Polynomial Graphs and End Behavior interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard F-IF.7c (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7c. Skill statement in this prompt cell: Sketch and match polynomial graphs using degree, leading coefficient, zeros, and multiplicities; determine end behavior. Associated standards listed with this skill in this prompt cell: CCSS F-IF.7c; CA CCSSM F-IF.7c; MA 2017 F-IF.7c; NY NGLS F-IF.7c; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Algebra II Math Resources

Continue learning with complementary skill worksheets and online practice