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VErTical linE TEST For FuncTionS
A relation is a function if and only if no vertical line
intersects the graph at more than one point .
Function Not a function
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y
1
x
Example 2 Apply the Vertical Line Test
Graph the relations from Example 1. Use the vertical
line test to tell whether the relations are functions.
a. First, write the relation
as a set of ordered
pairs.
(–2, –1), (–1, 0) ,
(3, 0), (6, 4)
Then plot the points.
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y
1
No vertical line
contains more
than one point so the
relation is a function .
x
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O
y
1
b. First, write the relation
as a set of ordered
pairs.
(–2, –2) , (1, 0),
(2, 2) , (2, 3)
Then plot the points.
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O
y
1
The vertical line at
x 5 2 contains two
different points in the
relation. So, the relation
is not a function.
26 Lesson 2.1 • Algebra 2 C&S Notetaking Guide Copyright © McDougal Littell/Houghton Mifflin Company
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