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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 horizontal asymptote of a rational function?

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The horizontal asymptote is a horizontal line that the graph of the function approaches as x approaches positive or negative infinity.

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How do you find the vertical asymptote of a rational function?

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The vertical asymptote can be found by setting the denominator of the rational function equal to zero and solving for x.

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What does it mean for a function to be undefined?

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A function is undefined at points where the denominator is zero, as division by zero is not possible.

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What is an asymptote?

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An asymptote is an imaginary line that a graph approaches but never touches.

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What happens to the graph of a rational function as it approaches its vertical asymptote?

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As the graph approaches the vertical asymptote, it tends to either positive or negative infinity.

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How can you determine the x-intercepts of a rational function?

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The x-intercepts can be found by setting the numerator equal to zero and solving for x.