Consider the following.

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h$($x$)=$x $\backslash$sqrt$[3]\{$x$-3\}$

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Find the critical numbers. $($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

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x$=$

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Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. $($Enter your answers using interval notation. If an answer does not exist, enter DNE.$)$

increasing

decreasing