AP Precalculus Final Exam - Fall 2024

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What is a horizontal asymptote?

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A horizontal asymptote is a horizontal line that the graph of a function approaches as the input (x) approaches positive or negative infinity.

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

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What is the y-intercept of a function?

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

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What is the significance of the leading coefficient in a polynomial?

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The leading coefficient of a polynomial determines the end behavior of the graph. It influences whether the graph rises or falls as x approaches positive or negative infinity.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial expression.

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What is the difference between vertical and horizontal asymptotes?

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Vertical asymptotes occur where a function approaches infinity (or negative infinity) as x approaches a certain value, while horizontal asymptotes describe the behavior of a function as x approaches infinity.

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How do you determine if a function has no horizontal asymptotes?

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A function has no horizontal asymptotes if the degree of the numerator is greater than the degree of the denominator.

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