2 Rational Expressions Operations and Domain Review

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What is a rational expression?

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A rational expression is a fraction where both the numerator and the denominator are polynomials.

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What are the domain restrictions for a rational expression?

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The domain restrictions are the values of the variable that make the denominator equal to zero.

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How do you find the domain of a rational expression?

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To find the domain, set the denominator equal to zero and solve for the variable. The solutions are excluded from the domain.

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What does it mean for a rational expression to be undefined?

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A rational expression is undefined when its denominator equals zero.

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What are vertical asymptotes in relation to rational expressions?

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Vertical asymptotes occur at the values of the variable that make the denominator zero, indicating where the function approaches infinity.

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How do you simplify a rational expression?

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To simplify, factor both the numerator and the denominator and cancel any common factors.

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