First of all, the number pair graph is a two-dimensional graph, which consists of a series of points, and each point corresponds to a numerical value. These points are arranged in a certain order to form an ordered set. Logarithmic graphs are usually used to represent the relationships between data. For example, in statistics, we can use logarithmic graph to express the correlation between two variables. Logarithmic graph can clearly show the distribution of data and help us to better understand and analyze the data.
Function image is a one-dimensional graph, which consists of a continuous curve, and any point on this curve corresponds to a unique numerical value. Function images are usually used to represent the changes of functions in a certain interval. For example, in calculus, we can use function images to represent derivatives or integrals of functions. Function images can intuitively show the properties of functions, such as monotonicity and periodicity.
Secondly, the representation methods of logarithmic graph and function graph are also different. The number pair graph is determined by the coordinates of points, while the function image is determined by the definition of the function. This means that for the same data set, we can draw several different number pair graphs, as long as the points in these graphs meet the same conditions; For the same function, we can only draw a unique function image, because the definition of the function is unique.
In addition, the processing complexity of logarithmic graph and function image is also different. Because the number pair graph is determined by the coordinates of points, when the data set is large, the number pair graph may become very complicated and difficult to understand and analyze. Functional images can be simplified and abstracted to reduce complexity. For example, we can use the derivative to find the extreme point of the function, or use the integral to find the area of the function.