Unit 2b Rational Functions - Review (2024)

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What is a vertical asymptote?

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A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a. It occurs when the denominator of a rational function equals zero.

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What is a horizontal asymptote?

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A horizontal asymptote is a line y = b that a function approaches as x approaches infinity or negative infinity. It indicates the behavior of the function at extreme values of x.

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The vertical asymptote is at x = 0.

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The horizontal asymptote is at y = -6.

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The vertical asymptote is at x = 3.

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The horizontal asymptote is at y = 5.

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The vertical asymptote is at x = 2 and the horizontal asymptote is at y = 0.

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What is the significance of vertical asymptotes in rational functions?

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Vertical asymptotes indicate values of x where the function is undefined and where the function's value can approach infinity.