Free Printable WorksheetMathGrade 8Math Curriculum8.F.A.1

8.92 Defining a Function Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.92 Defining a Function. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.92 Defining a Function - Which statement correctly defines a function and distinguishes it from a non-function? (CCSS 8.F.A.1; CA 8.F.A.1; MA 8.F.A.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

Grade 8

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 8.92 Defining a Function skill assessments:

Problem 1Difficulty: Hard
Which option is definitely a function?
AA graph containing points (0, 2), (0, 6), and (1, 7)
BA set of ordered pairs {(3, 7), (4, 7), (5, 9)}
CA table with pairs (1, 4), (1, 5), (2, 6)
DA situation where each student is paired with every instrument they play
Solution & Explanation:Only choice B gives each input exactly one output. Repeated output 7 is allowed.
Problem 2Difficulty: Hard
Why do unused possible outputs NOT stop a relation from being a function?
ABecause every output eventually gets used in a larger table.
BBecause unused outputs are automatically removed from the output set.
CBecause the function rule is about each input having exactly one output, not about using every possible output.
DBecause outputs do not matter in functions.
Solution & Explanation:The definition of a function focuses on inputs. It does not require every possible output value to appear.
Problem 3Difficulty: Hard
Which relation needs only one ordered pair removed to become a function, with no other changes needed?
ADomain {1, 2, 3}; 1 -> 4, 2 -> 5
B{(2, 5), (3, 6), (4, 7)}
C{(0, 1), (0, 2), (0, 3)}
D{(1, 4), (1, 6), (2, 7), (3, 8)}
Solution & Explanation:Removing either (1, 4) or (1, 6) from choice D leaves each input with one output. Choice A would still be missing an input from its stated domain.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.F.A.1 (Primary standard selected for prompt fields: CCSS 8.F.A.1. Skill statement: Which statement correctly defines a function and distinguishes it from a non-function? Associated standards listed with this skill: CCSS 8.F.A.1; CA 8.F.A.1; MA 8.F.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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