In this video I go further into the wonderful world of continuity and look at what it means for a function to be continuous on an interval and how to determine if it is indeed continuous.

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Continuity Part 3 – Continuity on an Interval

Definition

A function f is continuous on an interval if it is continuous at every number in the interval.

• If it is defined only on one side of an endpoint of the interval, we understand continuous at the endpoint to mean continuous from the right or continuous from the left.

Recap

A function f is continuous at a number ‘a’ if:

Example

Proof

Continuous from the right at -1 and continuous from the left at 1.