Summary

This lesson introduces the topic of rational functions. It highlights the usefulness of rational functions, particularly in analyzing cost functions, and introduces the concepts of variable and fixed costs. It outlines the process of understanding cost per unit by studying the rational function's graph and how to determine its key features.

Full Transcript

Hi there everybody. Welcome to today's lesson about rational functions. Rational functions are extremely useful to us. For example, the amount of money it costs to manufacture an item depends on a combination of variable costs and fixed costs. When we express it as a function, frequently we get a ra...

Hi there everybody. Welcome to today's lesson about rational functions. Rational functions are extremely useful to us. For example, the amount of money it costs to manufacture an item depends on a combination of variable costs and fixed costs. When we express it as a function, frequently we get a rational function. If we wanted to answer questions such as, how does the average cost change as we produce more or less of this particular item? Well, we would analyze this question and answer it by looking at the graph of the rational function describing the cost per unit. And we're going to learn about everything we need to do in order to do this when we answer the question, what determines the key features of a rational function?

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