Functions and Graphs

This book presents a strong emphasis on functions, and a concentration on developing and integrating the graphs of those functions.

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The authors' goal is to help students use the tools of mathematics creatively and appropriately. Through generous explanation and example, they demonstrate the use of a mathematical idea while guiding students in proper techniques. As each concept is introduced, students are reminded of the techniques they already know, are instructed on new techniques that can be used, and are given the opportunity to apply the concepts. In the early stages of the course, when students are most vulnerable to frustration and discouragement, the instruction and examples are detailed and prescriptive: Gustafson and Frisk call this special attention intensive care. With this care, students learn concepts, gain confidence, and are less likely to experience failure. This book should be of interest to students on introductory courses in precalculus.