👉 Break math, also known as piecewise functions, is a type of function defined by different expressions over distinct intervals. These intervals are separated by "break points," which are the values where the function's behavior changes. For example, a common break math function might be \( f(x) = x^2 \) for \( x \leq 0 \) and \( f(x) = 2x + 1 \) for \( x > 0 \). The function behaves differently in each interval, and the value of the function at the break points (0 and 0) is crucial as it determines whether the function is continuous or not at those points. Understanding break math helps in modeling real-world situations where conditions change abruptly, such as speed limits varying with distance or pricing tiers in a service.
