# The study of functions, graphing functions

Example.

1. Scope
2. Parity, odd parity, periodicity
3. The function is neither even nor odd and periodic

4. The intersection with the coordinate axes
5. or

6. The derivative and critical points
7. or

8. Intervals of increase, decrease, and extreme points (and the value of the function at these points)
9. The behavior of the functions at the ends of the scope and the asymptotes of the graph of a function (vertical, horizontal and inclined)

When you left

In the case

Therefore, vertical asymptote

Since

when then ie is the oblique asymptote

10. The second derivative and the study of the function of the bulge and gnutt
11. Find the inflection points (if they exist) and values in the points of inflection

So the sign of the second derivative can change only at the point

12. If you want to find control points specifying the behavior of the graph
13. On the basis of the study building sketch the graph of a function
Tags:
Chapter:
Versions in other languages:
Share with friends: