Free Printable WorksheetMathPre-CalculusMath CurriculumHSF-IF.1-6,9

Pre CAL.16 Determine Whether a Relation Is a Function Worksheet

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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.16 Determine Whether a Relation Is a Function. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.16 Determine Whether a Relation Is a Function - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a relation (graph, table, mapping, or ordered pairs), determine whether it is a function and select the correct justification. Associated standards listed with this skill in this prompt cell: 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. 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

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.16 Determine Whether a Relation Is a Function skill assessments:

Problem 1Difficulty: Mastery
The relation consists of y = (x2 - 4)/(x - 2) for x!= 2, plus the single point (2, 10). Is the relation a function? Select the correct justification.
ANo; rational expressions cannot be functions.
BYes; the formula excludes x = 2, and the added point gives x = 2 exactly one output.
CNo; the formula simplifies to y = x + 2, so x = 2 also gives y = 4.
DYes; adding any point to a graph always keeps it a function.
Solution & Explanation:The formula is used only when x!= 2, so it does not assign an output at x = 2. The added point assigns one output, 10, at x = 2.
Problem 2Difficulty: Mastery
The relation is y = (x2 - 1)/(x - 1) for x!= 1. Is the relation a function? Select the correct justification.
ANo; x = 1 is missing from the domain.
BYes; every allowed x-value has exactly one output, even though x = 1 is excluded.
CNo; rational expressions can never be functions.
DYes; the relation becomes y = x + 1 for all real x including 1.
Solution & Explanation:A function can have a restricted domain. For each x not equal to 1, the formula gives one output; x = 1 is simply not included.
Problem 3Difficulty: Mastery
A relation pairs each course section with each individual teacher assigned to that section. One section is co-taught by two teachers. Is the relation a function? Select the correct justification.
AYes; every teacher is assigned to a course section.
BNo; the co-taught section is one input paired with two teacher outputs.
CYes; co-teaching does not matter because teachers are people.
DNo; course sections cannot be inputs.
Solution & Explanation:The input is a course section, and the output is an individual teacher. A co-taught section has two outputs, so the relation is not a function.

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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 HSF-IF.1-6,9 (Primary standard selected for prompt fields in this prompt cell: CCSS HSF-IF.1-6,9. Skill statement in this prompt cell: Given a relation (graph, table, mapping, or ordered pairs), determine whether it is a function and select the correct justification. Associated standards listed with this skill in this prompt cell: 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. Use this prompt-provided wording as the supporting standard description for this workflow.).

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