Is the domain all real numbers?
Understand the Problem
The question is asking whether the domain of a particular function includes all real numbers. This involves understanding the characteristics of the function in question to determine if it is defined for every real number.
Answer
The domain is all real numbers when there are no restrictions on the input values.
The domain is all real numbers when there are no restrictions on the input values for the function.
Answer for screen readers
The domain is all real numbers when there are no restrictions on the input values for the function.
More Information
A function's domain being all real numbers means that any real number can be substituted in for the variable without causing any undefined values. Common exceptions include functions with square roots or variables in the denominator.
Tips
Common mistakes include assuming the domain is all real numbers without checking for potential restrictions like square roots, logarithms, or divisions by zero.
Sources
- When is domain all real numbers? - Homework.Study.com - homework.study.com
- Domains - Varsity Tutors - varsitytutors.com
- How to Find Domain and Range (Video & Practice Questions) - mometrix.com
