Is the domain of a polynomial always #RR# ?
3 Answers
Yes. See the explanation.
Explanation:
Domain of the function is the set of all values for which we can calculate function expression. That is always possible in the case of additive and multiplicative operations (e.g. we can always use
Polynomials are constructed with those operations, so we can calculate
Any polynomial in one variable is defined on all of
Explanation:
Any polynomial expression in one variable is defined on all of
There's a good argument for being explicit about the domain of a function.
For example, suppose
For completeness, I should mention that in the context of calculus the implicit domain of a polynomial in
Mathematically, yes. In applications (word problems), not always.
Explanation:
In your example,
If the function has arisen in an application in which