(Section 1.1: Functions)1.1.10 PART G: IMPLIED (OR NATURAL) DOMAINImplied (or Natural) DomainIffis defined by: fx()=(an expression in x), then the implied (or natural) domainoffis the set of all real numbers (xvalues) at which the value of the expression is a realnumber. • xcould be replaced by another variable. Domfis assumed to be the implied domainoff, unless otherwise specified or implied by the context. • In some applications (including geometry), we may restrict inputs to nonnegative and/or integer values (rounding may be possible). Implied Domain of an Algebraic FunctionIf a function is algebraic, then its implied domainis the set of all real numbers exceptthose that lead to (the equivalent of) …
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