Let $$f(x) = 2 x^3 - 2 x + 1.$$
(A) Use interval notation to indicate where $f(x)$ is increasing.
Note: Use 'INF' for $\infty$, '-INF' for $-\infty$, and use 'U' 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: