Function continuity

Function continuity refers to a property of a mathematical function where its output changes smoothly as the input changes. Specifically, a function is continuous if, for every point in its domain, small changes in the input result in small changes in the output. This means there are no sudden jumps, breaks, or holes in the graph of the function. In practical terms, if you were to draw the function without lifting your pencil from the paper, it would be continuous. Continuity is important because it helps us understand and predict how functions behave.