Let f(x) = -9 + 6x³. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).f is increasing on the intervalsf is decreasing on the intervals3. The relative maxima of f occur at x =4. The relative minima of f occur at x =1.2.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 a values or the word "none".

The function is given by fx = -9+6x-x3 To determine: The interval of increase or decrease and the…

Let f(x) = −9+ 6x-x³. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). f is increasing on the intervals 1. 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 a values or the word "none".