Graphing Rational Functions Flashcard Review

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Horizontal translation 7 spaces right.

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y = 4.

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b(x)=\frac{(x+4)(x-4)}{x-1}.

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N/A, none.

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(9,20).

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What is a rational function?

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A function that can be expressed as the quotient of two polynomials.

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Define vertical asymptote.

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A vertical line x = a where the function approaches infinity or negative infinity.

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What is the significance of a hole in a rational function?

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A hole indicates a point where the function is not defined due to a common factor in the numerator and denominator.

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

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Compare the degrees of the numerator and denominator; if they are equal, divide the leading coefficients.

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

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It means the degree of the numerator is greater than the degree of the denominator.