The definition domain of inverse proportional function is x≠0, and the value domain is y≠0. When x approaches zero, the value of y tends to infinity, and when x approaches infinity, the value of y tends to zero. This functional relationship is shown in the image as an inclined hyperbola passing through the origin, and its two branches extend on the positive and negative semi-axes of Y axis with the positive and negative changes of X, respectively.
Inverse proportional function has many important functions in practical application. For example, in physics, in the expression of Newton's second law F=ma, the relationship between force f and acceleration a can be expressed by an inverse proportional function. In economics, the relationship between price and sales volume is usually described as an inverse proportional function. In addition, inverse proportional function is also widely used in engineering, biology and other fields.
The characteristic of inverse proportional function is that one variable increases and the other variable decreases accordingly. This functional relationship reflects a mutually restrictive relationship, which is often used to solve mathematical models in practical problems. At the same time, inverse proportional function is also a basic function type, which plays an important role in learning other mathematical knowledge and skills.
In a word, inverse proportional function is a common mathematical function relationship, and its expression is y=k/x, which is often used to describe the relationship between two variables. It plays an important role in practical application and is also the basis for learning other mathematical knowledge and skills.