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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To find the horizontal asymptote of a rational function, compare the degrees of the numerator and denominator. If the degree of the numerator is less than the degree of the denominator, the asymptote is y=0. If they are equal, the asymptote is y=\frac{leading coefficient of numerator}{leading coefficient of denominator}. If the degree of the numerator is greater, there is no horizontal asymptote.

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What is the y-intercept of a function?

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The y-intercept of a function is the point where the graph intersects the y-axis, which occurs when x=0.

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What does it mean if a function has no horizontal asymptotes?

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If a function has no horizontal asymptotes, it means that as x approaches positive or negative infinity, the function does not approach a specific y-value.

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The function has no horizontal asymptotes.

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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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How do you determine the degree of a rational function?

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The degree of a rational function is determined by the highest degree of the polynomial in the numerator and the highest degree of the polynomial in the denominator.