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Key equations
Rational Function |
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Key concepts
Section exercises
Verbal
What is the fundamental difference in the algebraic representation of a polynomial function and a rational function?
The rational function will be represented by a quotient of polynomial functions.
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If the graph of a rational function has a removable discontinuity, what must be true of the functional rule?
The numerator and denominator must have a common factor.
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Can a graph of a rational function have no
x -intercepts? If so, how?
Yes. The numerator of the formula of the functions would have only complex roots and/or factors common to both the numerator and denominator.
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Algebraic
For the following exercises, find the domain of the rational functions.
For the following exercises, find the domain, vertical asymptotes, and horizontal asymptotes of the functions.
For the following exercises, find the
x - and
y -intercepts for the functions.
For the following exercises, describe the local and end behavior of the functions.
Questions & Answers
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Source:
OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
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