Yoshiwara K, Modeling, Functions, and Graphs 2024

Textbook in PDF format Modeling, Functions, and Graphs covers the content of a typical college algebra course with an emphasis on functions and modeling; when combined with a trigonometry text or supplement, this text can be used in a precalculus course. Mathematics, as we all know, is the language of science, and fluency in algebraic skills has always been necessary for anyone aspiring to disciplines based on calculus. But in the information age, increasingly sophisticated mathematical methods are used in all fields of knowledge, from archaeology to zoology. Consequently, there is a new focus on the courses before calculus. The availability of calculators and computers allows students to tackle complex problems involving real data, but requires more attention to analysis and interpretation of results. All students, not just those headed for science and engineering, should develop a mathematical viewpoint, including critical thinking, problem-solving strategies, and estimation, in addition to computational skills. The text employs a variety of applications to motivate mathematical thinking. Each chapter opens with a problem of historical or contemporary significance highlighting the material in the chapter, and includes an Investigation that previews the skills to be introduced. These Investigations can be used in class as guided explorations or as projects for small groups. We have also provided a set of more challenging Projects at the end of each chapter. Functions and Their Graphs. Modeling with Functions. Power Functions. Exponential Functions. Logarithmic Functions. Quadratic Functions. Polynomials and Rational Functions. Linear Systems. Sequences and Series. Appendices. Algebra Skills Refresher. Using a Graphing Calculator. Using a GeoGebra Calculator App. Glossary. Properties of Numbers. Geometry Formulas. Answers to Selected Exercises

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