This first part of the text will discuss the function concept and general graphing principles. Since our main object of study are the various functions that arise in real-world modeling problems, it is crucial that we establish a solid foundation of understanding of the function concept. We will also see how this concept can be used to gain new insight into the nature and procedures of Algebra.
Since a 2-dimensional graph is one of the most powerful tools for working with and understanding functions, we will also spend a good deal of time discussing fundamental principles of graphing. These principles will help to make mathematical formulas come "alive". We will use these principles, whenever we introduce a new function, to quickly sketch complex formulas, and to help us to choose an appropriate mathematical model in different applied settings.
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