Let $f(x) = 2x^{3}+1$. Find the open intervals on which $f$ is increasing (decreasing). Then determine the $x$-coordinates of all relative maxima (minima).

 1 $f$ is increasing on the intervals 2 $f$ is decreasing on the intervals 3 The relative maxima of $f$ occur at $x$ = 4 The relative minima of $f$ occur at $x$ =

Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".

In the last two, your answer should be a comma separated list of $x$ values or the word "none".