The interval on which the graph is increasing and decreasing are ( -∞,3] and [3,∞) respectively.
There is no interval where the function is constant.
In order to solve this question we need to study the graph attached,
From the graph, we could see that the plotting of the graph is starting from the negative axes and we could observe an increasing slope in the function, and the increment stopped after reaching point B(3,0), we can also observe that the value of the y-axis increases with that of the x-axis.
The interval at B(0,3) must be wrote down as ( -∞,3]
Again we could see a sudden drop in the slope of the function of the graph as the slope of the graph this time starts decreasing and moves to infinity and again we could observe that the value of the x-axis starts decreasing with the decrease in the value of the y-axis.
The function was constant at a null interval.
Therefore, The interval on which the graph is increasing and decreasing are ( -∞,3] and [3,∞) respectively and there is no interval where the function is constant.
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