What is natural domain?
Understand the Problem
The question is asking for the definition or explanation of 'natural domain,' which is typically a concept in mathematics that refers to the set of all possible input values (x-values) for which a function is defined.
Answer
The set of all allowable values for x.
The natural domain of a function is the set of all allowable values for the variable x for which the function is defined. It is often simply referred to as the domain of the function.
Answer for screen readers
The natural domain of a function is the set of all allowable values for the variable x for which the function is defined. It is often simply referred to as the domain of the function.
More Information
The natural domain is also referred to as the maximum domain. For example, the natural domain of y = 1/x is all real numbers except x = 0.
Tips
Common mistakes include confusing the natural domain with other restricted domains and not considering all necessary exclusions such as points causing division by zero or negative values under a square root.
Sources
- Content - Finding domains and ranges - amsi.org.au
- Natural Domain -- from Wolfram MathWorld - mathworld.wolfram.com
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