$09$ calct $53\mathrm{.}314.$

Comider the graph of $y={\displaystyle \underset{0}{\overset{x}{}}}f[]$ of$,$ where $f$ is a piecenise constant function.

$($a$)$ Over which intervals is $f$ positve? $($finter pour angmer wing interval notation. It an answer does not exid, enter BNE.$)$

Over which intervals is it nepative? $($Enter your answer using interval notation. If an answer does not exal, enter Dat.$)$

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Over which intervals, if any, is it equal to aerp? $($Enter pour answer using interval notation. If an answer does not exact, enter pnel.$)$

$($b$)$ What are the maximum and minimum values of $?$

$($c$)$ What is the average value of $f$ over $0,6?$