Operations with Rational Functions

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Define a rational function.

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What is the domain of a rational function?

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The domain of a rational function is all real numbers except where the denominator is zero.

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What does it mean to simplify a rational expression?

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To simplify a rational expression means to reduce it to its lowest terms by canceling common factors in the numerator and denominator.

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x = 16.

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What is a vertical asymptote in the context of rational functions?

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

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

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Vertical asymptotes can be found by setting the denominator equal to zero and solving for x.

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What is a horizontal asymptote?

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A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

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

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The horizontal asymptote can be determined by comparing the degrees of the numerator and denominator polynomials.

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What is the result of multiplying two rational functions?

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