Continuity on an Interval

Continuity on an Interval

A function is continuous on an open interval $$\left(a,b\right)$$ if it is continuous at every point of the interval.

For a closed interval:

$$[a,b]$$

the function must be right-continuous at $$a$$ and left-continuous at $$b$$.

Usage

- Used when continuity is required over an entire interval rather than at a single point.