Key Features of Rational Functions

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What is a rational function?

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CCSS.HSF-IF.C.7D

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What is an asymptote?

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An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

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CCSS.HSF-IF.C.7D

Front

What is a horizontal asymptote?

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CCSS.HSF-IF.C.7D

Front

How do you find the horizontal asymptote of a rational function?

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CCSS.HSF-IF.C.7D

Front

What is a vertical asymptote?

Back

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CCSS.HSF-IF.C.7D

Front

How do you find the vertical asymptote of a rational function?

Back

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CCSS.HSF-IF.C.7D

Front

What is a hole in a graph of a rational function?

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CCSS.HSF-IF.C.7D

Front

How do you find the y-intercept of a rational function?

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CCSS.HSF-IF.C.7D

Front

What is the significance of the leading coefficient in a rational function?

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The leading coefficient affects the end behavior of the function and helps determine the horizontal asymptote when the degrees of the numerator and denominator are equal.

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CCSS.HSF-IF.C.7D

Front

What does it mean if a rational function has no horizontal asymptote?

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