Non-Linear Functions: Classification And Examples For Modeling Complex Phenomena

non-linear function

A function whose graph is not a straight line

A non-linear function is any mathematical function whose graph in a coordinate system is not a straight line. Non-linear functions can have various shapes, such as curves, angles, slopes, and other curves that are not straight lines. These functions are vital in modeling complex phenomena in science, engineering, economics, and other fields.

An example of a non-linear function is the quadratic function f(x) = x^2. When this function is graphed on a coordinate system, it produces a parabola, which is a curve that is not a straight line. Another example is the exponential function f(x) = e^x. This function grows exponentially as the input value x increases, which is not a linear relationship.

Non-linear functions can be classified by their degree, which refers to the highest exponent in the function. For example, a quadratic function is a second-degree function, while a cubic function is a third-degree function. These classifications help provide insights into the behavior of the functions and their corresponding graphs.

In summary, a non-linear function is a mathematical function whose graph is not a straight line and can take on various shapes. These functions are critical in modeling complex phenomena and can be classified based on their degree.

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