Sample quiz on domain and range
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1. For a function $y=f(x)$, the term domain refers to $\cdots$?
   
   all positive values of $x$
   all possible (or admissible) values of $x$
   all possible (or admissible) values of $y$
   all positive values of $y$
   
2. For a function $y=f(x)$, the term range refers to $\cdots$?
   
   all possible values of $y$
   all possible values of $x$
   all positive values of $y$
   all positive values of $x$
3. Which of the following functions has restricted domain?
   
   $y=\sqrt{x}$
   $y=\frac{1}{x}$
   $y=\frac{1}{x^2}$
   All of the above
4. Which of the following functions has the set of real numbers, $\mathbb{R}$, as its domain?
   
   $y=x$
   $y=x^2$
   $y=|x|$
   All of the above
5. What is the domain of the function $y=\sqrt{x-1}$?
   
   $\{x\in\mathbb{R}|x\leq 1\}$
   $\{x\in\mathbb{R}|x\geq 1\}$
   $\{x\in\mathbb{R}|x\leq -1\}$
   $\{x\in\mathbb{R}|x\geq -1\}$
6. What is the domain of the function $y=\frac{1}{2x-1}$?
   
   $\{x\in\mathbb{R}|x\neq \frac{1}{2}\}$
   $\{x\in\mathbb{R}|x\neq 1\}$
   $\{x\in\mathbb{R}|x\geq \frac{1}{2}\}$
   $\{x\in\mathbb{R}|x\geq 1\}$
7. What is the range of the function $y=|x-2|$?
   
   $\{x\in\mathbb{R}|x\geq 0\}$
   $\{y\in\mathbb{R}|y\geq 2\}$
   $\{y\in\mathbb{R}|y\geq 0\}$
   $\{x\in\mathbb{R}|x\geq -2\}$
8. What is the range of the function $y=-2\sqrt{x}$?
   
   $\{x\in\mathbb{R}|x< 0\}$
   $\{x\in\mathbb{R}|x\geq 0\}$
   $\{y\in\mathbb{R}|y< 0\}$
   $\{y\in\mathbb{R}|y\leq 0\}$
9. What is the range of the function $y=\frac{1}{x-3}$?
   
   $\{y\in\mathbb{R}|y\neq 0\}$
   $\{y\in\mathbb{R}|y\geq 0\}$
   $\{x\in\mathbb{R}|x\neq 3\}$
   $\{x\in\mathbb{R}|x\neq -3\}$
10. What is the range of the function $y=-(x-1)^2-1$?
    
    $\{y\in\mathbb{R}|y< -1\}$
    $\{y\in\mathbb{R}|y\leq -1\}$
    $\{y\in\mathbb{R}|y\geq -1\}$
    $\{y\in\mathbb{R}|y\neq -1\}$