Unit 4 Review - Rational Functions PART 2

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Define a rational function.

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A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

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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 equals zero.

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

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Vertical asymptotes occur at the values of x that make the denominator zero, provided these values do not also make the numerator zero.

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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 positive or negative infinity.

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What is the process for dividing rational functions?

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To divide rational functions, multiply by the reciprocal of the divisor and then simplify.

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How do you add rational functions with the same denominator?

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To add rational functions with the same denominator, combine the numerators and keep the common denominator.

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