Explanation

• Continuous on interval if continuous at every point

• Use endpoints carefully: check one-sided limits for closed intervals

Quiz

1. What does continuity over an interval mean?

2. Should endpoints be checked?

3. Are one-sided limits important?

4. Can a function be continuous on [a,b]?

5. Does a hole inside break continuity?

Answer Key

1. Continuous at all points

2. Yes

3. Yes

4. Yes, if endpoints are handled

5. Yes