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Example: Rational Function.

f(x) =(x(x+1))/((x-1)(x+1))

Graph of f(x)
Sign Diagram of f(x)

The sign diagram seems to treat the vertical asymptote the same way as it does the hole.

Notice that the sign diagram does not contain information about the horizontal asymptote.

 

Dusty Wilson
Mathematics Instructor
Highline Community College
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  last modified December 16, 2010