Vertical Line Test Worksheet
Grade 11 Math worksheet on identifying functions using the vertical line test.
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Vertical Line Test
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Read each question carefully and follow the instructions. For 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 graph.
To determine if a relation is one-to-one.
To identify if a graph represents a function.
To calculate the slope of a line.
2. A vertical line intersects the graph of a relation at most once. This means the relation is:
Not a function.
A function.
A one-to-one function.
A linear relation.
3. If a vertical line intersects a graph at two points, the graph represents a function.
True
False
4. For each graph below, use the vertical line test to determine if it represents a function. Write 'Function' or 'Not a Function'.
5. The vertical line test states that if any vertical line intersects the graph of a relation more than once, then the relation is .
6. For a relation to be a function, each input (x-value) must correspond to exactly output (y-value).
7. Consider the equation x = y². Graph this relation on the coordinate plane below and then apply the vertical line test. Is it a function? Explain your reasoning.