Let $f(x) = 6x^3 + 9$. 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\".