Consider the three items below, which are each depicting a function in a certain way. In each case, state whether the function $f$ depicted has an inverse function $f^{-1}($answer YES or NO$),$ and state how you know $f$ has an inverse or not in one or two sentences. If a function does have an inverse, depict it in a similar manner on the right hand side.

$($; $$

$$ If $f$ has an inverse:

$($c$)$ Depiction of $f$ :

If $f$ has an inverse:

$f(x)=e^{2x}$