How to find implied domain?
Understand the Problem
The question is asking how to determine the implied domain of a function, which involves identifying the set of all possible input values (x-values) for which the function is defined, especially in terms of ensuring that no division by zero or square roots of negative numbers occur.
Answer
The set of all real numbers where the function is defined, excluding points of undefined behavior.
The implied domain is the set of all real numbers where the function is defined, excluding points where the function is undefined.
Answer for screen readers
The implied domain is the set of all real numbers where the function is defined, excluding points where the function is undefined.
More Information
Functions can have various types like polynomials, rational, or radical, each with specific conditions leading to undefined points that need to be excluded from the domain.
Tips
Common mistakes include forgetting to exclude points where the denominator is zero in rational functions or where the radicand is negative in radical functions.
Sources
- Implied Domain - Statistics How To - statisticshowto.com
- What is the difference between domain and implied domain of a function - Math Stack Exchange - math.stackexchange.com
- Steps to Find the Implied Domain of a Function - LabXchange - labxchange.org
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