# What is a continuous function?

##### 1 Answer

#### Answer:

There are several definitions of continuous function, so I give you several...

#### Explanation:

Very roughly speaking, a continuous function is one whose graph can be drawn without lifting your pen from the paper. It has no discontinuities (jumps).

Much more formally:

If

That's rather a mouthful, but basically means that

Here's another definition:

If

That is if