How to learn functions?

Mainly depends on whether you are talking about the function of junior high school or senior high school. The role of junior high school is to know some basic properties and images of linear function, quadratic function and inverse function. Among them, the emphasis is on practical application, and the functional relationship is written according to the meaning of the question. The difficulty should lie in the quadratic function, including the deformation of the general formula of quadratic function, two-point formula and standard formula (as if this is the name), and the choice of these three forms, so as to find the analytical formula of quadratic function skillfully.

In our country, quadratic function has always been the focus, and the last math problem in the senior high school entrance examination is generally of this type, but this kind of problem often involves high school knowledge, so for most people, the first or second quiz can be answered.

Then, if you are in high school, treat the above as a joke. Mathematical functions in senior high school are studied by stages, and the most difficult ones are set theory and modern function concepts, but these problems are not difficult (mapping must be understood on the basis of concept understanding). Only by remembering and understanding these concepts can we learn functions well, otherwise we won't understand them in the future. Then there is the monotonicity and parity of the function, which requires certain algebraic operation ability and understanding of the meaning of the final formula. From then on, the function is not difficult.

Having said so much, I feel that I have said nothing. In fact, the way to learn this kind of thing is to sum it up by yourself. What a teacher can do is to impart knowledge and learning experience, show you the direction, and tell you what is important and what is not. As for learning, I still rely on myself. In the end, how to learn is to practice more, summarize more and think more. Because learning itself is a process of imitation, if you imitate well, you will naturally learn well. But remember to imitate the method, not the form, understand the process, not the result, and learn to summarize, so as to achieve such an effect, so there is basically no problem. If you want to learn something, you need to innovate, and you need to draw inferences, that is, think more and think more about advanced problems. Trying to solve these problems will inspire your thinking, improve your innovation ability and help solve those problems.

I hope you can learn functions and math well. Very interesting.