A jump discontinuity occurs when a function has a sudden change in value at a specific point, meaning the left-hand limit and the right-hand limit exist but are not equal. This type of discontinuity indicates that the function 'jumps' from one value to another at that point, making it impossible to draw the function continuously without lifting the pencil. Understanding jump discontinuities helps clarify the nature of functions and their continuity properties, which are critical in analyzing differentiability and the behavior of functions across different intervals.
congrats on reading the definition of Jump Discontinuity. now let's actually learn it.