Piecewise function

1. What is a piecewise function?
2. What are the examples of piecewise functions?

What is a piecewise function?

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1.

What are the examples of piecewise functions?

A piecewise function is a function that is defined on a sequence of intervals. A common example is the absolute value, Additional piecewise functions include the Heaviside step function, rectangle function, and triangle function.