### Home > CALC > Chapter 5 > Lesson 5.4.1 > Problem 5-146

5-146.

**Choice**: Let*f*be the function given by. Which of the following statements about *f*are true? Homework Help ✎I.

*f*is continuous at*x*= 0.

II.*f*is differentiable at*x*= 0.

III.*f*has an absolute minimum at*x*= 0.I only

II only

III only

I and III

II and III

Examples of functions that are not differentiable at *x* = *c*. Notice that some of them are still continuous at *x* = *c*.