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Vertical Line Test for FunctionsA method to distinguish functions from relations
The Vertical Line Test
Practice Problems
The vertical Line test is a wy to determine whether or not a relation is a function. The vertical line test simply states that if a vertical line intersects the relation's graph in more than one place, then the relation is a NOT a function. If you think about it, the vertical line test is simply a restatement of the the definition of a function which states that every x value must have a unique y value. Well, if any particular x value has more than one y value, then you can pass a vertical line will intersect with the graph of the relation more than once. Let's re-examine the two relations from above:
On the left are the graphs of the two relations examined above. Relation #2 does not pass the vertical line test.
Problem One
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Graphing Calc
