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

$f(x)=x^4-32x^{2}6$

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

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

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$($b$)$ Find the local maximum and minimum values of $f.$

tocat minimum value $$

local maximum value $$

$($c$)$ Find the inflection points. $($Order your answers from smallest to largest $x,$ then from smalles

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

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

$$