Consider the following. $($If an answer does not exist, enter DNE.$)$

f$($x$)=$ x$23($x $7)$

$($a$)$

Find the interval$($s$)$ on which f is increasing. $($Enter your answer using interval notation.$)$

$($b$)$

Find the interval$($s$)$ on which f is decreasing. $($Enter your answer using interval notation.$)$

$($c$)$

Find the local minimum and maximum value of f$.($Round your answer to two decimal places.$)$

local minimum value

local maximum value