A piecewise function is a mathematical function that is defined by multiple sub-functions, each of which applies to a different interval of the function's domain. The sub-functions are "pieced together" to form the entire function.
Piecewise functions can be used to describe relationships between radians and numbers, such as in trigonometric functions or in converting between units of measurement.
The main difference between a piecewise function and a regular function is that a regular function is defined by a single equation that applies to the entire domain, whereas a piecewise function is defined by multiple equations that apply to different intervals of the domain.
To graph a piecewise function in radians and numbers, you would first plot each of the sub-functions on its corresponding interval. Then, you would connect the points on the graph to create a continuous curve.
Piecewise functions are used in a variety of real-life applications, such as in modeling population growth, analyzing stock market trends, and designing computer algorithms. They are also used in engineering and physics to describe complex relationships between variables.