The advantages and disadvantages of mathematical function representation

The three methods of representation of functions are complementary, so in the actual study of the problem, usually the three methods are used alternately, for example, in the study of the nature of a function expressed in the analytic formula, you can draw the graph of the function according to the analytic formula, the combination of mathematical and graphical more clear, intuitive, how to draw the graph of the function List method, usually part of the value of the independent variable, according to the analytic formula of the corresponding function value, the list shows that its value correspondence, and then according to the table, in the plane coordinate system, tracing the points, forming the graph of the function. The value of the corresponding relationship, and then according to the table, in the plane coordinate system, tracing the point, the formation of the function of the image.