Vertical Line Test Worksheet

Grade 12 Math worksheet on understanding and applying the Vertical Line Test to identify functions from relations.

Grade 12 Math Functions OperationsVertical Line Test

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Includes

Multiple ChoiceTrue / False2 Short AnswerFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSF.IF.A.1CCSS.MATH.CONTENT.HSF.IF.C.7

Topics

MathFunctionsVertical Line TestRelationsGrade 12

7 sections · Free to use · Printable

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Vertical Line Test Worksheet

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Read each question carefully and answer to the best of your ability. For questions involving graphs, use the Vertical Line Test to determine if the relation is a function.

1. Which of the following best describes the purpose of the Vertical Line Test?

To find the x-intercepts of a relation.

To determine if a relation is symmetric.

To identify if a relation is a function.

To calculate the slope of a line.

2. A relation fails the Vertical Line Test if a vertical line intersects the graph at how many points?

Exactly one point

Zero points

More than one point

At least one point

3. The equation x = y² represents a function.

True

False

4. All linear equations (except vertical lines) represent functions.

True

False

5. For each graph below, apply the Vertical Line Test to determine if the relation is a function. Write 'Function' or 'Not a Function' in the space provided.

Result:

6. A relation is a function if and only if every vertical line intersects the graph of the relation at most point.

7. The Vertical Line Test is a graphical method used to determine if a represents a function.

8. Explain why a circle does not represent a function according to the Vertical Line Test.