Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
Questions and Answers
What is the domain restriction for 'Even index'?
What is the domain restriction for 'Even index'?
- All real numbers
- x ≠0
- x ≥ 0 (correct)
- x > 0
What is the restriction for a variable in the denominator of a fraction?
What is the restriction for a variable in the denominator of a fraction?
x ≠0
What is the domain restriction for 'Even index and variable in fraction of denominator'?
What is the domain restriction for 'Even index and variable in fraction of denominator'?
x > 0
What does 'No restrictions' mean in terms of domain?
What does 'No restrictions' mean in terms of domain?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Domain Restrictions in Algebra II
- Even index requires non-negative input values for real numbers; therefore, x must be greater than or equal to zero (x ≥ 0).
- When a variable appears in the denominator of a fraction, it cannot equal zero, leading to the restriction x ≠0.
- An even index combined with a variable in the denominator of a fraction imposes a stricter condition where x must be positive (x > 0).
- Instances where there are no restrictions on the variable allow for the use of all real numbers in the domain.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
