For each of these partial functions, determine its domain,

Chapter 1, Problem 77E

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QUESTION:

For each of these partial functions, determine its domain, codomain, domain of definition, and the set of values for which it is undefined. Also, determine whether it is a total function.

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QUESTION:

For each of these partial functions, determine its domain, codomain, domain of definition, and the set of values for which it is undefined. Also, determine whether it is a total function.

ANSWER:

SolutionStep 1In the problem we have to find the domain , co-domain , domain of definition and set of value for which it is undefined.and if the function is total function or not.Domain means set of inputCodomain means set of output values.Total Function means function is defined for every domain value.a)f : Z R , f(n) = 1/nHere,Domain of the function = Z where Z denote for IntegerCoDomain of the function = R where R denote for real NumberDomain of Definition = set of all positive integer except zero.Undefined value = {0}Total Function = No, it is not a total function because the function is not defined at x = 0.

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