Titlebook: Elementary Functions; Andrei Bourchtein,Ludmila Bourchtein Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive

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Epilogue: A Bridge to Calculus,the relationship between the second order derivatives and concavity and inflection is discussed and illustrated for different functions. The solved examples show how the concepts of differential Calculus, even in a simplified form, can facilitate enormously the study of many important properties of functions.

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Algebraic Functions: Polynomial, Rational and Irrational,nate axes and the intervals where the function maintains the same sign, proceed with verification of bijectivity and consider additional properties (continuity and asymptotes) and finalize by sketching the graph of the function, which reflects geometrically the properties revealed analytically.

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