How to Determine a Function Using the Vertical Line Test?
A step-by-step guide to determining a function using the vertical line test
Graph of the vertical line test
How to apply the vertical line test?
- Geometrically:
- Algebraically:
Determining a Function Using the Vertical Line Test , Example 1:

First, draw a vertical line at any point on the given graph. And now, check whether the vertical line drawn on the diagram intersects the diagram at a maximum of one point.
The vertical line intersects the graph at more than one point (three points), then the given graph does not show a function.

Exercises for Determining a Function Using the Vertical Line Test
Use the vertical line test to determine if the following graph shows a function.



- \(\color{blue}{Yes}\)
- \(\color{blue}{No}\)
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