Graphs of rational expressions

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What are asymptotes?

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Asymptotes are lines that a graph approaches but never touches. They can be vertical, horizontal, or oblique.

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What does it mean if a function has a vertical asymptote?

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It means that the function approaches infinity or negative infinity as it gets close to that x-value.

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What does it mean if a function has a horizontal asymptote?

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It means that the function approaches a specific y-value as x approaches infinity or negative infinity.

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