Creating and Graphing Relationships Using Rational Functions

The video tutorial explores how to use rational functions to solve a cost-sharing problem, specifically renting a pool for $150. It explains rational functions as ratios of polynomials, their graphical representation, and common mistakes like input restrictions. The tutorial guides viewers through creating and graphing a function to determine the cost per person based on the number of people renting the pool. It highlights the concept of asymptotes and concludes with a summary of the lesson.

What is a rational function and how is it represented mathematically?

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Explain the significance of asymptotes in the context of rational functions.

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What are the input restrictions for the function representing the pool rental?

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How does the number of people renting a pool affect the price per person?

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Describe the relationship between the total cost and the number of people in the context of the pool rental.

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How do you create a graph for the relationship between the number of people and the price per person?

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What happens to the cost per person as more people rent the pool?

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