Transformations and Properties of Rational Functions

Front

What is a rational function?

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Front

What is the parent function of rational functions?

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Front

What is a vertical asymptote (VA)?

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Front

What is a horizontal asymptote (HA)?

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Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes occur at the values of x that make the denominator zero, provided that the numerator is not also zero at those points.

Front

How do you find horizontal asymptotes of a rational function?

Back

Front

What does a vertical stretch by a factor of k do to a function?

Back

A vertical stretch by a factor of k multiplies the output of the function by k, making the graph taller.

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What does a vertical compression by a factor of k do to a function?

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A vertical compression by a factor of k divides the output of the function by k, making the graph shorter.

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What does a horizontal shift to the right by h units do to a function?

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Front

What does a horizontal shift to the left by h units do to a function?

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