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