Question

what is the domain of the function y = √x?
-∞ < x < ∞
0 < x < ∞
0 ≤ x < ∞
1 ≤ x < ∞

Explanation:

Step1: Recall square - root function domain rule

The expression under the square - root must be non - negative. For the function $y = \sqrt{x}$, we need $x\geq0$.

Step2: Analyze the domain in interval notation

The domain of $y=\sqrt{x}$ is all real numbers $x$ such that $0\leq x<\infty$.

Answer:

$0\leq x<\infty$ corresponds to the option $0\leq x<\infty$ (assuming the third option in the original list is meant to be $0\leq x<\infty$ as the notation seems a bit unclear in the image).