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The Calculus Lifesaver by Adrian Banner

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CHAPTER 1 ______________________________

Functions, Graphs, and Lines

Trying to do calculus without using functions would be one of the most pointless things you could do. If calculus had an ingredients list, functions would be first on it, and by some margin too. So, the first two chapters of this book are designed to jog your memory about the main features of functions. This chapter contains a review of the following topics:

• functions: their domain, codomain, and range, and the vertical line test;

• inverse functions and the horizontal line test;

• composition of functions;

• odd and even functions;

• graphs of linear functions and polynomials in general, as well as a brief survey of graphs of rational functions, exponentials, and logarithms; ...

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