domain n range - Chapter 1 Functions of Several Variables 1...

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1 Chapter 1: Functions of Several Variables DefinitionDomain - Set of values D of which a function is defined Range - Set of values to which Dis sent by the function To find the domain of a function, we must know the values of which the function is undefined. Notation for Domain and RangeFor functions of two variables, the general way of writing the domain and range are: Domain, D= {( ,)x y: any restriction, if applicable, ,xR yR} Range, R= {z: any restriction, if applicable, zR} Similarly, the general way of writing the domain and range for functions of three variables are: Domain, D= {( ,, )x y z: any restriction, if applicable, ,,xR yR zR} Range, R= {w: any restriction, if applicable, wR} Some Common Restrictions for Certain FunctionsIn order to determine the domain and range for functions, particular attention has to be paid on functions involving square root, reciprocal, trigonometry, logarithmand exponentialfunction.

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