Solution assignment 10 Absolute value |x|

Draw the graph of $f(x)=e^{|x|}$

We apply the definition of the absolute value and get:

$e^{|x|}=e^x$ if $x\geq0$

$e^{|x|}=e^{-x}$ if $x<0$

The graphs of the functions $e^x$ and $e^{-x}$ are mirrored in the $Y$ -axis and thus the graph is as follows.