Sample quiz on domain of square root functions
Main home here.

1. What is the domain of the parent square root function $y=\sqrt{x}$?
   
   $\{x\in\mathbb{R}~|~x> 0\}$
   $\{x\in\mathbb{R}~|~x< 0\}$
   $\{x\in\mathbb{R}~|~x\geq 0\}$
   $\{x\in\mathbb{R}~|~x\leq 0\}$
   
2. What is the domain of the function $y=\sqrt{x-1}$?
   
   $\{x\in\mathbb{R}~|~x\geq 1\}$
   $\{x\in\mathbb{R}~|~x\geq 0\}$
   $\{x\in\mathbb{R}~|~x> 1\}$
   $\{x\in\mathbb{R}~|~x\leq 1\}$
3. What is the domain of the function $y=\sqrt{1-x}$?
   
   $\{x\in\mathbb{R}~|~x\leq -1\}$
   $\{x\in\mathbb{R}~|~x\geq -1\}$
   $\{x\in\mathbb{R}~|~x\geq 1\}$
   $\{x\in\mathbb{R}~|~x\leq 1\}$
4. What is the domain of the function $y=\sqrt{3-4x}$?
   
   $\{x\in\mathbb{R}~|~x< \frac{3}{4} \}$
   $\{x\in\mathbb{R}~|~x\leq \frac{3}{4}\}$
   $\{x\in\mathbb{R}~|~x\geq \frac{3}{4}\}$
   $\{x\in\mathbb{R}~|~x\leq \frac{4}{3}\}$
5. What is the domain of the function $y=\sqrt{2x}$?
   
   $\{x\in\mathbb{R}~|~x\geq 2\}$
   $\{x\in\mathbb{R}~|~x\geq 0\}$
   $\{x\in\mathbb{R}~|~x\leq 2\}$
   $\{x\in\mathbb{R}~|~x> 0\}$
6. What is the domain of the function $y=-\sqrt{-5x}$?
   
   $\{x\in\mathbb{R}~|~x\leq 0\}$
   $\{x\in\mathbb{R}~|~x\geq 0\}$
   $\{x\in\mathbb{R}~|~x\geq -5\}$
   $\{x\in\mathbb{R}~|~x\leq -5\}$
7. Find the domain of the function $y=\sqrt{1+2x}$.
   
   $\{x\in\mathbb{R}~|~x> -\frac{1}{2}\}$
   $\{y\in\mathbb{R}~|~y\geq -\frac{1}{2}\}$
   $\{x\in\mathbb{R}~|~x\geq -\frac{1}{2}\}$
   $\{x\in\mathbb{R}~|~x\geq -2\}$
8. Find the domain of the function $y=1+\sqrt{x}$.
   
   $\{x\in\mathbb{R}~|~x\geq 1\}$
   $\{y\in\mathbb{R}~|~y\geq 1\}$
   $\{x\in\mathbb{R}~|~x\leq 0\}$
   $\{x\in\mathbb{R}~|~x\geq 0\}$
9. Find the domain of the function $y=1-\sqrt{2-x}$.
   
   $\{x\in\mathbb{R}~|~x\leq 2\}$
   $\{x\in\mathbb{R}~|~x\geq 2\}$
   $\{x\in\mathbb{R}~|~x> 2\}$
   $\{x\in\mathbb{R}~|~x\geq 1\}$
10. Find the domain of the function $y=\sqrt{-3(5-x)}$.
    
    $\{x\in\mathbb{R}~|~x\geq 3\}$
    $\{x\in\mathbb{R}~|~x\geq 5\}$
    $\{x\in\mathbb{R}~|~x\leq 5\}$
    $\{x\in\mathbb{R}~|~x> 5\}$