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.
