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?

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

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

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

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

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

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