Continuous function: A continuous function is one that can be drawn without lifting your pen from the paper. In other words, there are no breaks, jumps, or holes in its graph.
Discontinuous function: A discontinuous function is one that has at least one break, jump, or hole in its graph. It may have different pieces or sections that are not connected smoothly.
Step function:A step function is a type of piecewise function where each section is constant within its interval and changes abruptly at specific points. It looks like steps on a staircase when graphed.