$f(x)=2x^3-8x-1$

$($A$)$ Use interval notation to indicate where $f(x)$ is increasing.

Note: Use 'INF' for $,\text{'}-$INF' for $-,$ and use $\text{'}$U$\text{'}$ for the union symbol.

Increasing:

$($B$)$ Use interval notation to indicate where $f(x)$ is decreasing.

Decreasing:

$($C$)$ List the $x$ values of all local maxima of $f.$ If there are no local maxima, enter 'NONE'.

$x$ values of local maximums $=$

$($D$)$ List the $x$ values of all local minima of $f.$ If there are no local minima, enter 'NONE'.

$x$ values of local minimums $=$

$($E$)$ Use the preceding information to sketch a graph of $f.$ When you're finished, enter 'DONE' in the box below.

Graph Complete: