Find all critical numbers for the function

$\backslash [$

f$($x$)=\backslash$frac$\{$x$^\{1/3\}\}\{$x$^\{2\}+3\}-3$

$\backslash ]$

Give your answer as a comma separated list of numbers,arranged in increasing order. If there are no critical numbers, enter NONE.

Answer:

Classify each of the critical numbers you found above as a relative minimum $($MIN$),$ relative maximum $($MAX$),$ or neither $($NEITHER$).$ Again, give your answer as a comma separated list, in the same order that you listed the critical points above.

Answer:

List all numbers $\backslash ($ a $\backslash )$ such that the line $\backslash ($ x$=$a $\backslash )$ is an asymptote for the graph of $\backslash ($ f $\backslash ).$ Give your answer as a comma separated list of numbers. If the graph has no vertical asymptotes, enter NONE.

Answer:

List all numbers $\backslash ($ b $\backslash )$ such that the line $\backslash ($ y$=$b $\backslash )$ is an asymptote for the graph of $\backslash ($ f $\backslash ).$ If the graph has no horizontal asymptotes, enter NONE.

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