Final Exam Part 1 Fall 2024

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Define a rational function.

Back

A function that can be expressed as the ratio of two polynomials.

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What is a horizontal asymptote?

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A horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

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Explain the concept of a hole in a graph.

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A hole occurs in a graph where a function is not defined due to a factor that cancels out in the rational expression.

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What is the significance of simplifying rational expressions?

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Simplifying rational expressions makes it easier to analyze and solve equations.

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Define the term 'asymptote'.

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A line that a graph approaches but never touches.