True or false about continuity

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   A differentiable function is always continuous.

2. Statement is true

   No

   Statement

   A continuous function is always differentiable.

3. Statement is true

   Yes

   Statement

   The modulus function is continuous at zero.

4. Statement is true

   No

   Statement

   x squared is discontinuous at zero.

5. Statement is true

   Yes

   Statement

   The chain rule handles composite functions.

Instructions

Decide whether each statement is true or false.

Explanation