Question For this problem, consider the function

$y=f(x)=\sqrt[\phantom{2}]{|x|}+\frac{x}{4}$

on the domain of all real numbers.

$($a$)$ The value of

$\underset{x}{lim}f(x)$

$q,($If you need to use $-$ or $,$ enter $-$infinity or infinity.$)$

$($b$)$ The value of

$\underset{x-}{lim}f(x)$

is $($If you need to use $-$ or $,$ enter $-$infinity or infinity.$)$

$($c$)$ There are two $x-$intercepts; list these in increasing order: $s=,t=.$

$($e$)$ If $x$ is positive, the formula for $f^{\text{'}}(x)=.$ If $x$ is negative, the formula for $f^{\text{'}}(x)=$

$($f$)$ There are two critical numbers for $f(x)$; llst these in increasing order:

$($g$)$ The critical numbers in $($f$)$ break the domain into three intervals; on each, determine if the function is increasing or decreasing by typing "I" or $"$D$"$:

sign on $(-,v)=$

sign on $(v,w)=$

sign on $(w,)$