# Sample quiz on domain and range Main home here.

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 $y=-(x-1)^2-1$?
$\{y\in\mathbb{R}|y< -1\}$
$\{y\in\mathbb{R}|y\leq -1\}$
$\{y\in\mathbb{R}|y\geq -1\}$
$\{y\in\mathbb{R}|y\neq -1\}$