The term "continuous" refers to something that happens without interruption or breaks. For example, when you pour water from a jug, the flow is continuous as long as you keep tilting the jug. This means the water keeps coming out smoothly without stopping until you decide to stop pouring.
In mathematics, a continuous function is one where small changes in the input lead to small changes in the output. This concept is important in calculus, where it helps us understand how things change over time, like the movement of a car on a road or the growth of a plant.