Question

Draw the graph of $y=\left(\frac{|x|}{x}\right)$

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$y=\left(\frac{|x|}{x}\right)$

$y=\{\begin{array}{cc}+1& \text{if}x>0\\ -1& \text{if}x<0\end{array}$

At x=0, $y=\left(\frac{|x|}{x}\right)$ is NOT defined.

so, $y=\left(\frac{|x|}{x}\right)$ is a piece wise function.

so,option D is correct.