sketching a curve of cubic function having min and max points

Hi guys,
I'm trying to sketch a graph of cubic function on the attachment hence find out where the function is increasing . My problem is I'm not sure about how the graph will actually look like(i've sketched it already but it dosent seem right considering the min and max points), any help would be much appreciated

Those aren't the minimums and maximums, they are the roots of the cubic. i.e: where they cut the x-axis. So you should draw a cubic starting the bottom left and moving upwards, cutting the x-axis at -6, continuing, hitting a maximum and then coming back down the cut the x-axis at x=-3 and then continuing before hitting a minimum and moving back upwards to cut the x-axis at x=2 and then moving upwards indefinitely. So your graph seems fine? What's the specific question that you have?

But the point (-6 , -30) dosent show

Not sure what you have done here - your graph is correct however your turning points are not. You should get a minimum at x=0 and a maximum at x= -14/3

What? We know that x=-6 means y=0. i.e: (-6, -30) isn't a valid point. What's the original question?