Free Printable WorksheetMathPre-CalculusMath CurriculumCCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1

Pre CAL.2 Domain, Range, and Function Types Worksheet

Download our free printable Pre-Calculus Math worksheet on Pre CAL.2 Domain, Range, and Function Types. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.2 Domain, Range, and Function Types. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.2 Domain, Range, and Function Types - Given an equation, graph, table, or context, identify the correct domain and range (including any necessary restrictions) that make the function meaningful. (CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1)

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

Pre-Calculus

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 Pre CAL.2 Domain, Range, and Function Types skill assessments:

Problem 1Difficulty: Mastery
For f(x) = −3 + 2cos(3x − 1), what is the range?
A[−3, 2]
B[−1, 5]
C(−∞, ∞)
D[−5, −1]
Solution & Explanation:Cosine ranges from −1 to 1. Multiplying by 2 gives [−2, 2], and adding −3 shifts this to [−5, −1].
Problem 2Difficulty: Mastery
For f(x) = (ln(25 − x²) + √(x + 1)) ÷ x, what is the domain?
A[−1, 5)
B(−5, 5)
C[−1, 0) ∪ (0, 5)
D[−1, 0] ∪ [0, 5)
Solution & Explanation:The logarithm requires −5 < x < 5. The square root requires x ≥ −1. The denominator x excludes x = 0. Combining gives [−1, 0) ∪ (0, 5).
Problem 3Difficulty: Mastery
For f(x) = 2 + 1 ÷ (x − 1) on the restricted domain x ≥ 2, what is the range?
A[2, 3]
B(2, 3]
C(−∞, ∞)
D[3, ∞)
Solution & Explanation:On x ≥ 2, the denominator x − 1 is at least 1, so 1 ÷ (x − 1) is in (0, 1]. Adding 2 gives the range (2, 3].

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Frequently Asked Questions

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QHow do I download and print this Pre CAL.2 Domain, Range, and Function Types worksheet?

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QIs this Pre CAL.2 Domain, Range, and Function Types worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice Pre CAL.2 Domain, Range, and Function Types 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 Pre-Calculus Math students. It aligns with educational standard CCSS HSF-IF.1-6,9; CCSS HSF-BF.1-4; CCSS HSA-CED.1-4; SMP 1,2,4,5,7; AP Precalculus CED Units 1-3; TX §111.42(c)(2)(A-L); FL MA.912.F.1.4, MA.912.F.1.7, MA.912.F.3.3-3.9, MA.912.AR.9.10; VA MA.CF.1, MA.FR.1 (Given an equation, graph, table, or context, identify the correct domain and range, including any necessary restrictions, that make the function meaningful.).

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