What is the domain of a linear function?
Understand the Problem
The question is asking for the set of possible input values (domain) for a linear function, which can be identified through an understanding of linear functions' properties.
Answer
The set of all real numbers
The domain of a linear function is the set of all real numbers.
Answer for screen readers
The domain of a linear function is the set of all real numbers.
More Information
For any linear function, irrespective of its slope or intercept, the domain always includes all possible x-values, which covers the entire set of real numbers.
Tips
A common mistake would be to assume restrictions on the domain due to misconceptions about specific functions. Ensure understanding that a linear function continues indefinitely in both directions.
Sources
- Linear Functions - cuemath.com
- What is the domain and range of a linear function? | Socratic - socratic.org
- Determining Domain and Range for Linear Functions - texasgateway.org
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