Question

Construct the graphs of the following functions.
$y=2^{\frac{(|x|+x)}{x}}$

Answer 1

Given equation is

$y=2^{\frac{(|x|+x)}{x}}$

There are two cases

$x>0$ and $x<0$

Therefore the equations are respectively

For $x>0,y=2^{\frac{(x+x)}{x}}=2^2=4$

For $x<0,y=1$

The graph is shown by the figure.