continuous function
A continuous function is a type of mathematical function where small changes in the input result in small changes in the output. This means that if you were to draw the function on a graph, you could do so without lifting your pencil from the paper. In simpler terms, there are no sudden jumps or breaks in the graph of a continuous function.
For a function to be continuous at a specific point, three conditions must be met: the function must be defined at that point, the limit of the function as it approaches that point must exist, and the limit must equal the function's value at that point. Continuous functions are important in calculus and are often used in various fields, including physics and engineering.