I am doing curve sketching in class and I don't understand an aspect of it. The curve to be sketched is
I understand the intercepts are (0,0) and (0,0), HA at y=1, VA at x=3 and domain all real except x=3 However, I am not sure how to find intervals of increase and decrease and relative extrema of the function
They have it listed as f'(x)= concluding that f decreases everywhere and no local extemas --> how do they arrive at these conclusions?
Also they have no POI for the graph after taking f''(x)= How do they make this conclusion?