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2.8: Analysis of Rational Functions

Difficulty Level: At Grade Created by: CK-12
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Practice Analysis of Rational Functions

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Estimated11 minsto complete
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Estimated11 minsto complete
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Vocabulary Language: English

TermDefinition
Break A break exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero. Graphing calculators will not show breaks in their displays.
End behavior End behavior is a description of the trend of a function as input values become very large or very small, represented as the 'ends' of a graphed function.
Hole A hole exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero.
Rational Function A rational function is any function that can be written as the ratio of two polynomial functions.
Vertical Asymptote A vertical asymptote is a vertical line marking a specific value toward which the graph of a function may approach, but will never reach.

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