Question
What are the domain and range of the absolute value parent function?
• The domain is nonnegative real numbers (y ≥ 0), and the range is all real numbers.
• The domain is negative real numbers (y <
0), and the range is all real numbers.
O The domain is all real numbers, and the range is positive real numbers (y > 0).
O The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
• The domain is nonnegative real numbers (y ≥ 0), and the range is all real numbers.
• The domain is negative real numbers (y <
0), and the range is all real numbers.
O The domain is all real numbers, and the range is positive real numbers (y > 0).
O The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
Answers
GPT-4o mini
The correct statement regarding the domain and range of the absolute value parent function \( f(x) = |x| \) is:
**The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).**
- **Domain:** All real numbers (because you can take the absolute value of any real number).
- **Range:** Nonnegative real numbers (since the absolute value is always 0 or positive).
**The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).**
- **Domain:** All real numbers (because you can take the absolute value of any real number).
- **Range:** Nonnegative real numbers (since the absolute value is always 0 or positive).