In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value, known as discontinuities. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to sufficiently small changes of its argument. A discontinuous function is a function that is not continuous.

## Bibliography

“Continuous Function.” 2023.

*Wikipedia*, January. https://en.wikipedia.org/w/index.php?title=Continuous_function&oldid=1132729385.