Answer to Question #343348 in Calculus for Mehek

Question

Find the domain and range of the function (x,x/|x|).

Answer 1

$$f(x)=\dfrac{x}{|x|}$$

$$f(x)=\dfrac{x}{|x|}=\dfrac{x}{x}=1, x>0$$

$$f(x)=\dfrac{x}{|x|}=\dfrac{x}{-x}=-1, x<0$$

$f(x)$ is not defind at $x=0.$

$Domain: (-\infin, 0)\cup (0, \infin)$

$Range: \{-1, 1\}$