On what interval$($s$)$ is f increasing? $($Enter your answer in interval notation.$)$

On what interval$($s$)$ is f decreasing? $($Enter your answer in interval notation.$)$

$($b$)$

At what value$($s$)$ of x does f have a local maximum? $($Enter your answers as a comma$-$separated list.$)$

x $=$

At what value$($s$)$ of x does f have a local minimum? $($Enter your answers as a comma$-$separated list.$)$

x $=$

$($c$)$

On what interval$($s$)$ is f concave upward? $($Enter your answer in interval notation.$)$

On what interval$($s$)$ is f concave downward? $($Enter your answer in interval notation.$)$

$($d$)$

State the x$-$coordinate$($s$)$ of the point$($s$)$ of inflection. $($Enter your answers as a comma$-$separated list.$)$

x $=$