What does natural domain refer to? (1 Viewer)

Run hard@thehsc

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I have forgotten what natural domain refers to.... especially with regard to this question wherein none of the answer options list the actual domain of the number. Can someone please help me out with this one! Thanks...
 

jimmysmith560

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Nice job on figuring it out! :)

I think it is still worthwhile to include an explanation in this thread so that other students who may have the same question can also gain insight into natural domain.

Essentially, when a function is defined and the domain is not stated explicitly, the domain is assumed to be the largest set of real values for which the formula gives real values. In other words, the natural domain comprises the values for which the function is defined, i.e. defined by the function rather than by a question.

For example, the natural domain of is .

On the other hand, a domain (which may also be called a restricted domain) is imposed by a question or by part of a question.

For example, the natural domain of the function is all real . However, a question could specify or restrict the domain to for instance.
 

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