The domain of the function. It can only determine the points at which the denominator of the function equal to zero
It can determine the intersection points of the function graph with the coordinate axes
Extremes of the function: intervals (segments) of increasing and decreasing of the function, as well as local (or relative) and global (or absolute) minima and maxima of the function
Inflection points of the function graph: inflection points: intervals of convexity, concavity (convexity)
Vertical asymptotes: the domain of the function definition, the points where the denominator of the function equal to zero
The horizontal asymptote of the graph of the function