![]() Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses theĬreative Commons Attribution-NonCommercial-ShareAlike License It is essential to be familiar and comfortable with these ideas before proceeding to the formal introduction of calculus in the next chapter. In short, this chapter provides the foundation for the material to come. We provide examples of equations with terms involving these functions and illustrate the algebraic techniques necessary to solve them. We review how to evaluate these functions, and we show the properties of their graphs. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. In this chapter, we review all the functions necessary to study calculus. What do these numbers mean? In particular, how does a magnitude 9 earthquake compare with an earthquake of magnitude 8.2? Or 7.3? Later in this chapter, we show how logarithmic functions are used to compare the relative intensity of two earthquakes based on the magnitude of each earthquake (see Example 1.39).Ĭalculus is the mathematics that describes changes in functions. In April 2014, an 8.2-magnitude earthquake struck off the coast of northern Chile. A magnitude 9 earthquake shook northeastern Japan in March 2011. In January 2010, an earthquake of magnitude 7.3 hit Haiti. In the past few years, major earthquakes have occurred in several countries around the world.
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