continuous

adjective

1. Without stopping; without a break, cessation, or interruption“a continuous current of electricity”
2. Without intervening space; continued“a continuous line of railroad”
3. Not deviating or varying from uniformity; not interrupted; not joined or articulated.
4. (of a function) Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.