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

8.95 Identifying Functions from Graphs Using the Vertical Line Test Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.95 Identifying Functions from Graphs Using the Vertical Line Test. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.95 Identifying Functions from Graphs Using the Vertical Line Test - Which graph represents a function (passes the vertical line test)? (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

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Below are sample questions representative of the exercises included on this worksheet and related 8.95 Identifying Functions from Graphs Using the Vertical Line Test skill assessments:

Problem 1Difficulty: Hard
Which statement best explains why the graph of y = x2 is a function but the graph of x = y2 is not?
AThe first graph has more points than the second.
BThe first passes the vertical line test, but the second can give two y-values for one x-value.
CThe second is curved and the first is not.
DThe first crosses the x-axis and the second does not.
Solution & Explanation:The graph y = x2 gives one output for every x, so vertical lines hit it once. The graph x = y2 is sideways, so some vertical lines hit it twice.
Problem 2Difficulty: Hard
Which combined graph remains a function?
AThe upper semicircle of x2 + y2 = 9 together with the point (0, -4).
BThe upper semicircle of x2 + y2 = 9 together with the point (4, 1).
CThe full circle x2 + y2 = 9 together with a point outside the circle.
DA vertical line together with any other point.
Solution & Explanation:Option B is a function because x = 4 is outside the semicircle's domain, so no x-value gets two outputs. The other choices still repeat outputs for at least one x-value.
Problem 3Difficulty: Hard
A piecewise graph cannot be a function when two pieces meet at the same x-value, even if only one point is included there.
ATrue
BFalse
Solution & Explanation:That statement is false. If only one point is included at the meeting x-value, the graph can still be a function.

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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 graph represents a function (passes the vertical line test)? 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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8.95 Identifying Functions from Graphs Using the Vertical Line Test Worksheet (PDF & DOCX) | Grade 8 Math | Free K12 Practice