$($i$)$

$($a$)$ All the local maximum and minimum values of the function and the value of $x$ at which each occurs.

$(1)$

local maximum $(largerx-$value$),(x,y)=()$

local minimum $(smallerx-$value$),(x,y)=(x)$

local minimum $(largerx-$value$),(x,y)=()$

$($b$)$ The intervals on which the function is increasing and on which the function is decreasing. $($Enter your answers using interval notation.$)$

increasing

decreasing $$