5.5. Plan a general study of the function

The full research of the function is carried out according to the following plan:

1. The scope of the function.
2. Parity, oddness, periodicity of the function.
3. The continuity of the function.
4. Asymptotes.
5. Zero functions and constancy intervals.
6. Intervals of monotony and extremes.
7. Convexity, concavity, points of inflection.
8. Plotting.