How to learn the basic properties of functions in a compulsory math class in senior one? Before I understood the previous content, the teacher went on to talk about the latter, and now I am still in the middle. Monotonicity (including increasing (to put it bluntly, it is the same relationship, the reason (x) increases, and the result (y) also increases), and decreasing (to put it bluntly, it is the opposite relationship, the reason (x) increases, and the result (y) decreases).

The proof method of increment is to take X 1 < X2, if F (X 1) < F (X2) (both less than, equal to the same direction, that is, the same direction relationship, so F (X) is increasing function.

The proof method of decline is to take x 1 < x2. If f(x 1) > (x2) (one is less than and the other is greater than, the inequality is opposite, that is, the inverse relationship, so f(x) is a decreasing function.

Parity is symmetric (odd function is symmetric about the origin, and even functions are symmetric about the Y axis).

Judgment method: first find f (-x), and then compare it with f(x). If f (-x) =-f (x) is odd function and f (-x = f (x) is an even function.

In a word, as long as the definition of concepts is mastered in mathematics, other problems are only comparison and deformation.

Learn by yourself, understand the definitions and formulas, study the examples, then cover the examples and do the examples yourself to see if the answers are basically the same as those of the examples. If it is consistent, it means that you have understood.