Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and …

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Learning Objectives 1.1.1Use functional notation to evaluate a function. 1.1.2Determine the domain and range of a function. 1.1.3Draw the graph of a function. 1.1.4Find the zeros of a function. …

Calculus Volume 1 Introduction Contents Highlights Print Figure 5.1Iceboating is a popular winter sport in parts of the northern United States and Europe. (credit: modification of work by Carter Brown, Flickr)

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A power series is a type of series with terms involving a variable. More specifically, if the variable is x, then all the terms of the series involve powers of x. As a result, a power series can be thought of as …

Learning Objectives 1.2.1Calculate the slope of a linear function and interpret its meaning. 1.2.2Recognize the degree of a polynomial. 1.2.3Find the roots of a quadratic polynomial. …