Corsider the function below.

$f(x)=e^{-\frac{1}{x4}}$

$($a$)$ Find the vertical aymptote$($s$).($Enter your answers as a comma$-$separted lise, it an answer does rot exist enter DNE.$)$

$x=$

Find the hortagetal ayrmptote$($s$).($Enter your answers as a comma$-$siparated list. If an arawer does not east, enter DNE.$)$

$F=$

$($a$)$ Find the interval$($s$)$ where the function is increasing. $($frifer rour arswer using interval notation, If an anywer does not exist, enter DNf

$$

Find the interval$($i$)$ where the function is decreasing, $($ofter your ahwer using interval notabion, $2$ an arswer does not eaist, enter DNE.$)$

$$

$(4)$ Frid the local mannum and minim vilues. $($IF an anywer does sof exist, enter DNE.$)$

bed maximum value $$

Local minimum value $$

$x$