Rational Functions Flashcard

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What is 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 the set of all real numbers except where the denominator equals zero.

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How do you find the x-intercept of a rational function?

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To find the x-intercept, set the numerator equal to zero and solve for x.

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What is a vertical asymptote?

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

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How do you determine vertical asymptotes of a rational function?

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

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