Piecewise Function: A function that is defined by different formulas for different intervals. It allows us to represent different behaviors within one overall function.
Oscillating Function: A function that repeatedly changes direction between positive and negative values. It can have multiple discontinuities due to its rapid oscillations.
Limit: The value that a function approaches as the input approaches a certain point. Limits are used to analyze the behavior of functions near points of interest, including potential discontinuities.