Sample quiz on rational functions' domain/range
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1. What is the domain of the rational function $y=\frac{-1}{x-1}$?
   
   $\{x\in\mathbb{R}|x\geq -1\}$
   $\{x\in\mathbb{R}|x\neq -1\}$
   $\{x\in\mathbb{R}|x\neq 1\}$
   $\{x\in\mathbb{R}|x\leq 1\}$
2. What is the domain of the rational function $y=\frac{x-1}{x+1}$?
   
   $\{x\in\mathbb{R}|x\neq -1\}$
   $\{x\in\mathbb{R}|x\geq -1\}$
   $\{x\in\mathbb{R}|x\geq 1\}$
   $\{x\in\mathbb{R}|x\neq 1\}$
3. What is the domain of the rational function $y=\frac{2x+3}{3x-2}$?
   
   $\{x\in\mathbb{R}|x\neq \frac{2}{3}\}$
   $\{x\in\mathbb{R}|x\neq\frac{3}{2}\}$
   $\{x\in\mathbb{R}|x\neq -\frac{3}{2}\}$
   $\{x\in\mathbb{R}|x\neq -\frac{2}{3}\}$
   
4. What is the domain of the rational function $y=\frac{1}{x^2+9}$?
   
   $\{x\in\mathbb{R}\}$
   $\{x\in\mathbb{R}|x\neq -9\}$
   $\{x\in\mathbb{R}|x\neq -3\}$
   $\{x\in\mathbb{R}|x\neq\pm 3\}$
5. What is the domain of the rational function $y=\frac{x}{x^2-4}$?
   
   $\{x\in\mathbb{R}|x\neq -4\}$
   $\{x\in\mathbb{R}|x\neq\pm 2\}$
   $\{x\in\mathbb{R}|x\neq -2\}$
   $\{x\in\mathbb{R}|x\neq 2\}$
6. What is the range of the rational function $y=-\frac{1}{x}$?
   
   $\{y\in\mathbb{R}|y\neq -1\}$
   $\{y\in\mathbb{R}|y\geq -1\}$
   $\{y\in\mathbb{R}|y\neq 0\}$
   $\{y\in\mathbb{R}|y\geq 0\}$
7. What is the range of the rational function $y=\frac{1}{x+2}$?
   
   $\{y\in\mathbb{R}|y\neq 2\}$
   $\{y\in\mathbb{R}|y\neq 0\}$
   $\{y\in\mathbb{R}|y\neq -2\}$
   $\{y\in\mathbb{R}|y\geq -2\}$
8. What is the range of the rational function $y=\frac{x+2}{x-2}$?
   
   $\{y\in\mathbb{R}|y\neq -1\}$
   $\{y\in\mathbb{R}|y\neq -2\}$
   $\{y\in\mathbb{R}|y\neq 2\}$
   $\{y\in\mathbb{R}|y\neq 1\}$
9. What is the range of the rational function $y=\frac{x-1}{2x+1}$?
   
   $\{y\in\mathbb{R}|y\neq 1\}$
   $\{y\in\mathbb{R}|y\neq\frac{1}{2}\}$
   $\{y\in\mathbb{R}|y\neq -\frac{1}{2}\}$
   $\{y\in\mathbb{R}|y\geq -\frac{1}{2}\}$
10. What is the range of the rational function $y=\frac{1-x}{2x+5}$?
    
    $\{y\in\mathbb{R}|y\neq\frac{1}{2}\}$
    $\{y\in\mathbb{R}|y\neq -\frac{5}{2}\}$
    $\{y\in\mathbb{R}|y\neq -\frac{1}{5}\}$
    $\{y\in\mathbb{R}|y\neq -\frac{1}{2}\}$