True or false: reading the definitions

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Continuity is defined at a point in the function's domain.

2. Statement is true

   Yes

   Statement

   A function continuous on its whole domain is called continuous.

3. Statement is true

   Yes

   Statement

   Continuity requires the limit to exist.

4. Statement is true

   No

   Statement

   Continuity requires the derivative to exist.

5. Statement is true

   Yes

   Statement

   The chain rule handles composites.

Explanation