Unit 4 Flashcard: Rational Functions Operations

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What are excluded values in rational functions?

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Excluded values are the values of the variable that make the denominator equal to zero, which are not allowed in the function.

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What is the process of dividing rational functions?

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To divide rational functions, multiply the first function by the reciprocal of the second function.

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What does it mean to add and simplify rational functions?

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Adding rational functions involves finding a common denominator, combining the numerators, and simplifying the result.

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What is the definition of a rational function?

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A rational function is a function that can be expressed as the ratio of two polynomials.

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What is the significance of finding the least common denominator (LCD) in rational functions?

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The LCD is used to combine fractions by ensuring all fractions have the same denominator.

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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 cancel with the numerator.

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What is the horizontal asymptote of a rational function?

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The horizontal asymptote describes the behavior of the function as x approaches infinity or negative infinity.