What is a natural domain?
Understand the Problem
The question is asking for the definition of 'natural domain', which is commonly related to mathematics, specifically in the context of functions and their inputs. The natural domain refers to the set of all possible input values (or x-values) for which a given function is defined. The answer will provide an explanation regarding its significance and examples.
Answer
The set of all allowable input values for a function
The final answer is the set of all allowable input values for a given function, which is also known as the natural domain of the function.
Answer for screen readers
The final answer is the set of all allowable input values for a given function, which is also known as the natural domain of the function.
More Information
The natural domain is sometimes referred to as the maximum domain or simply the domain of the function. It includes all input values (x-values) for which the function is defined.
Tips
A common mistake is confusing the natural domain with the codomain or forgetting to exclude values where the function is undefined, such as division by zero or negative values under a square root.
Sources
- AMSI Senior Years - Natural Domain - amsi.org.au
- Natural Domain -- from Wolfram MathWorld - mathworld.wolfram.com
- Domain of a function - Wikipedia - en.wikipedia.org
