Free Printable WorksheetMathAlgebra IIMath CurriculumF-IF.2

ALG2.64 Determining Domain and Range Worksheet

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Q: What 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.2 (Identify and state domain and range from graphs, tables, and formulas, including restrictions from context. Associated source-listed standards: CCSS F-IF.2; F-IF.5; CA CCSSM F-IF.2; F-IF.5; MA 2017 F-IF.2; F-IF.5; NY NGLS F-IF.2; F-IF.5; TX TEKS Algebra II: §111.40.).

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.64 Determining Domain and Range. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.64 Determining Domain and Range - Identify and state domain and range from graphs, tables, and formulas, including restrictions from context. Associated source-listed standards: CCSS F-IF.2; F-IF.5; CA CCSSM F-IF.2; F-IF.5; MA 2017 F-IF.2; F-IF.5; NY NGLS F-IF.2; F-IF.5; TX TEKS Algebra II: §111.40.

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 ALG2.64 Determining Domain and Range skill assessments:

Problem 1Difficulty: Mastery

For y = sqrt((x + 1)(5 - x)) + 2, which choice gives the domain and range?

ADomain: (-infinity, -1] U [5, infinity); Range: [2, 5]

BDomain: [-1, 5]; Range: [0, 5]

CDomain: [2, 5]; Range: [-1, 5]

DDomain: [-1, 5]; Range: [2, 5]

Solution & Explanation:The product (x + 1)(5 - x) must be nonnegative, which happens on [-1, 5]. Its maximum value is 9, so the square root ranges from 0 to 3, and adding 2 gives [2, 5].

Problem 2Difficulty: Mastery

Revenue is modeled by R(n) = n(30 - n) for 0 <= n <= 30, where n is the number of items sold. Which option gives the domain and range?

ADomain: [0, 225]; Range: [0, 30]

BDomain: (-infinity, infinity); Range: (-infinity, 225]

CDomain: [0, 30]; Range: [0, 225]

DDomain: [0, 30]; Range: [225, infinity)

Solution & Explanation:The context limits n to [0, 30]. The quadratic reaches its maximum of 225 at n = 15 and is 0 at the endpoints, so the range is [0, 225].

Problem 3Difficulty: Mastery

A graph contains one closed segment from (-6, -2) to (-2, 6) and another segment from the open point (1, 4) to the closed point (5, 0). What is the domain?

A(-6, -2) U [1, 5]

B[-6, -2] U (1, 5]

C[-6, 5]

D[-6, -2] U [1, 5]

Solution & Explanation:The first segment includes all x-values from -6 to -2. The second uses x-values greater than 1 up to and including 5.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this ALG2.64 Determining Domain and Range 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 ALG2.64 Determining Domain and Range 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 ALG2.64 Determining Domain and Range online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG2.64 Determining Domain and Range 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.2 (Identify and state domain and range from graphs, tables, and formulas, including restrictions from context. Associated source-listed standards: CCSS F-IF.2; F-IF.5; CA CCSSM F-IF.2; F-IF.5; MA 2017 F-IF.2; F-IF.5; NY NGLS F-IF.2; F-IF.5; TX TEKS Algebra II: §111.40.).