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How to establish a functional model to solve practical problems
Steps to build a mathematical model with functions to solve practical problems? (1) Observe the actual situation:

Analyze the changing process in practical problems;

(2) Find and ask questions:

Precipitation constants, variables and their relationships; ?

(3) Collecting and analyzing data:

Make clear the basic characteristics of its movement change, so as to determine its movement change type; ?

(4) Select the function model:

According to the analysis results, the appropriate function type is selected to establish a mathematical model, and the actual problem is reduced to a mathematical problem; ?

(5) Solving the function model:

According to practical problems, the functional model is solved by operational reasoning; ? For example, calculate the special value of the function, and study the monotonicity, maximum value, maximum value and minimum value of the function.

(6) Test model:

The solution of function model is used to explain the changing law of actual problems and achieve the purpose of solving problems.